That was fast! Soon after Nexus 4 system dump was made available for download, the guys over at AndroidPolice have been able to extract the Google Play Store APK 3.9.17 from the build. It’s out there and ready for download. The official latest version of Play Store currently is 3.9.16 that was released on October 11th. This release contains minor updates, enhancements and bug fixes from the previous release. Follow the download links below:
Download Play Store 3.9.17 APK
You can install this version of Play Store on your device manually. Please note that this is not an official release and is rather extracted from Nexus 4 system dump. The complete system dump along with system apps, wallpapers and sounds was made available couple of days ago.