Making the 16-woman final means that Cox, 19, has appeared in every final in this World Cup season.
Cox’s score in the first final was 74.26, which was not high enough to make the second final, which decided medals.
The event was won by American Hannah Kearney, second was Yulia Galysheva from Kazakhstan with third going to Canadian Justine Dufour-Lapointe taking third.
Brodie Summers was Australia’s best male, finishing 18th, an equal best for the season, but unfortunately he missed the cut for the final.
The result was a positive one for the 20-year-old from Melbourne who is chasing vital World Cup points to try and secure a berth at the Sochi Games.
Canadian Alex Bilodeau took out the event ahead of Americans Patrick Deneen in second and Bradley Wilson in third.
In other Australia results, Matt Graham was 22nd, Sam Hall was 35th, Nicole Parks was 19thand Taylah-Paige O’Neill was 28th and Dale Begg-Smith was rested.
The final World Cup before the Sochi Games will be held in Val St Come, Canada on 19 January.
Peter Henrys / OWIA | sochi2014.olympics.com.au