This is the 2095th most frequent German word.
vierte
"Vierte" means "fourth" in English.
Here, 'vierte' is the ordinal number 'fourth', modifying 'Tag' (day) to specify a sequence in time.
Am vierten Tag der Woche besucht sie immer ihre Großeltern.
On the fourth day of the week, she always visits her grandparents.
'Vierte' applies as an ordinal number again, describing the 'Stück' (piece) in terms of its sequential position.
Er nahm das vierte Stück Kuchen vom Teller.
He took the fourth piece of cake from the plate.
In this sentence, 'vierte' modifies 'Auszeichnung' (award), indicating it as part of a sequence of awards.