Ran up the correct fixed amount for account (9)

I believe the answer is:

narration

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'account' is the definition.
(narration is a kind of account)

'ran up the correct fixed amount' is the wordplay.
'up' says the letters should be written backwards (in down clue: letters go upwards).
'the correct fixed amount' becomes 'ration' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'ran' reversed gives 'nar'.
'nar'+'ration'='NARRATION'

'for' is the link.

Can you help me to learn more?

(Other definitions for narration that I've seen before include "telling" , "Process of storytelling" , "Spoken account" , "Story" , "Voice-over in film" .)

I've seen this clue in the Sydney Morning Herald.

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