The Royals pushed across three runs against Indians starter Jeanmar Gomez, beginning with back-to-back doubles by Melky Cabrera and Alex Gordon for a run in the second inning.
Billy Butler opened the fourth with a double, and two walks and a Getz single later, the Royals had two more runs.
"Getzy is swinging the bat much better, he's really doing a nice job," Royals manager Ned Yost said. "At-bats help, when you can get some consistent at-bats like he's gotten."
Royals starter Kyle Davies had his longest outing of the spring, giving up two runs and six hits in five innings.
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Both runs came in the third, an inning that began with Davies' only walk. Adam Everett then stole second and scored on Lonnie Chisenhall's single. Chisenhall later scored on Davies' wild pitch.
"Four pitches, too, and it was Adam Everett, the 9-hole hitter," Davies said of the walk. "So I wasn't happy with it. The pitches weren't even close. If you take that out, and the inning might not go like it did. And I end up wild-pitching in a run, too, that inning."
The Indians tied the score, 3-3, in the sixth against reliever Blake Wood on Travis Buck's double and Shelley Duncan's single.
A three-run sixth inning against Indians reliever David Huff gave the Royals a 6-3 lead. Gordon led off with a single, and scored on Lucas May's double. May stole third before Getz's RBI single, Alcides Escobar's single and Mike Aviles' sacrifice fly.
"Jeanmar and Huff are still in the mix [for fifth starter], along with Josh Tomlin," Indians pitching coach Tim Belcher said. "Gomez was more efficient with his pitches. David didn't pitch very efficiently. He showed some good signs, some good stuff, a good curve ball, a good changeup."
Carlos Santana's two-run double against Royals reliever Tim Collins pulled the Indians to within 6-5 in the seventh.
Up next for the Royals: Left-hander Bruce Chen gets to pitch -- and bat -- as the Royals visit the San Francisco Giants at 3:05 p.m. on Saturday at Scottsdale Stadium, where National League rules prevail. Chen will be followed by right-handers Nate Adcock, Aaron Crow and Greg Holland. Left-hander Barry Zito will start for the Giants, who are expected to draw a sellout crowd. Former Royals lefty Jeremy Affeldt is among the Giants' scheduled pitchers.
Up next for the Indians: Right-hander Justin Masterson will make his fifth start for the Indians in a 4:05 p.m. ET game on Saturday against the Los Angeles Angels in Tempe, Ariz. Masterson has a 6.00 ERA in his previous four starts, and has rung up 12 strikeouts in 12 innings. Left-hander Scott Kazmir is the Angels' probable starter.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.