as a proportion of population
And we're even close to number one in absolute terms:
UPDATE: Bruce Bradbury points out that Australia's high numbers might merely indicate that Australians have good access to doctors and make use of that access.
He says more useful would be figures on the number of people hospitalised with swine flu in each country.
Here are the death figures, also from informationisbeautiful (click to enlarge):
Guess what? Australia doesn't feature on the list.