In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

[EX Q]: 3, 4, ['1809', '1127', 'm', '3137']
[EX A]: 3137

[EX Q]: 2, 8, ['r', 'H', 'K', 'K', '7307', 'i', '9381', '4175']
[EX A]: 20863

[EX Q]: 10, 11, ['9051', '3633', 'I', '3363', '8553', '3971', '4283', 'G', '1343', '6713', '6339', 'i']
[EX A]:
13052