Before breaking through in the late innings, the night belonged to Rodriguez, who had already solidified a rotation spot. The lefty struck out seven and walked three, but had his night end after 80 pitches.
Atlanta already has tossed a no-hitter this spring. It came on March 8 against the Astros in a game that ended 2-2 in 10 innings. Nine Atlanta pitchers combined on the no-no.
Two batters after Rodriguez exited, Yelich collected the Marlins' first hit. Giancarlo Stanton and Prado added doubles in the inning.
Two of Rodriguez's walks were to Jeff Baker, but in each inning, the lefty relied on the strikeout to help avoid further trouble.
On being no-hit through five innings, Miami manager Mike Redmond said with a laugh, "It took a little while to adjust to the lights."
"Wandy looked good," Redmond added. "He threw a lot of strikes, in and out, mixed his speeds up. He kept us off-balance. We put together some good at-bats, our guys the third time through the order. It was good to see us to be able to put some consecutive hits together. We ran the bases well, and really played good defense."
Miami starter Dan Haren was effective over four innings, allowing one run on four hits with four strikeouts.
The first walk Haren allowed in Spring Training came back to haunt him in the fourth inning. The Miami right-hander had gone 12 straight innings without issuing a free pass before Freddie Freeman drew a base on balls.
Andrelton Simmons reached on a one-out bunt single, and Chris Johnson delivered an RBI single to left.
The game was the only night affair Miami will play at Roger Dean Stadium.
Up next: The Braves have their third Grapefruit League split-squad matchups Saturday, staying in Jupiter to face the Cardinals while hosting the Nationals in Lake Buena Vista. Left-hander Eric Stults is scheduled to make his first start (fourth outing) of the spring against the Nationals. Right-hander Chien-Ming Wang will be on the hill in Jupiter against the Cardinals.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter @JoeFrisaro. This story was not subject to the approval of Major League Baseball or its clubs.