Here's an article with more images.
http://www.dailymail.co.uk/news/article-3662452/The-chupacabra-hunting-killed-Ukrainian-man-claims-caught-legendary-mysterious-blood-sucking-beast.html
It looks like a an emaciated hyena that lost its coat due to severe mange or some endocrine problem (notice the swollen abdominal area). The teeth, although canine, indeed look longer that the average dog, but they also look as milk teeth to me (I could be wrong, though). The milk teeth are usually thinner than permanent ones. Maybe one of the local oligarchs has exotic animals and some escaped, or they were abandoned.
I asked some friends, who have expertise in the area, so will see what they say.