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The Kira hologram was created for Tiron, a wealthy regular customer at Quark's. He was obsessed with Kira, but she rebuffed him.
Tiron paid Quark for a holosuite program that would feature Kira in an erotic way. Quark's plan was detected by Odo, but instead of arresting him, he and Kira decided to turn the tables on Quark by changing the program's character. They placed Quark's head on Kira's body sending Tiron storming out of Quark's. (DS9: "Meridian")