Los Angeles has pounded out at least 14 hits in each of its last three games. The Dodgers have won four in a row and 10 of their last 11.
A four-run fourth gave the Dodgers the lead for good, an inning that featured a two-run homer by Juan Uribe. Adrian Gonzalez added a solo shot in the fifth and both Ramirez and Matt Kemp hit solo blasts in the ninth.
The Rockies suffered their third straight loss despite taking an early 4-1 lead.
Zack Greinke (6-2) struggled through five innings, but still picked up his third consecutive win. He gave up five runs on six hits with seven walks. Kenley Jansen allowed a run in the ninth, but still collected his eighth save.
The loss went to Tyler Chatwood (4-2), who was roughed up for six runs on 11 hits in five innings. He had given up no more than two runs in any of his eight previous starts.