Texas overcame a three-run deficit and extended its winning streak to five games with the completion of a sweep of the Marlins.
Vladimir Guerrero's homer reduced the Texas deficit to 3-1 in the fourth and the Rangers took the lead with a three-run fifth.
Julio Borbon led off the inning with a walk and relief pitcher Alexi Ogando, after missing a sacrifice bunt, singled for his first major-league hit. Elvis Andrus then put down a bunt and Florida starter Ricky Nolasco threw the ball away at first -- allowing Borbon to score.
One out later, Kinsler doubled to drive in Ogando and Andrus. Kinsler also had a sacrifice fly during a two-run seventh.
Ogando, who had never appeared in the majors until this series, picked up his second victory in three nights. He threw 2 1/3 scoreless innings after relieving starter Dustin Nippert in the fourth. Neftali Feliz worked a perfect ninth and recorded his 18th save.
Feliz earned a save in all three games of the Florida series.
Nolasco (5-6) allowed four runs, two of them earned, on seven hits over six innings. Florida lost for the fourth time in five games.