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Sum Last 5 Entries From Range

I have a row of golf scores "I3:X3" they either have a number value or "DNP".

I want to SUM only the last five number values and exclude the rest. The list will get a new entry every week. ie I want to SUM the last 5 most recent scores. There may be 15 or 16 scores or only 3, but I want the last 5 (or less) most recent.

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