Kan-Dapaah was elected as the member of parliament for the Afigya-Sekyere West constituency of the Ashanti Region of Ghana for the third time in the 2004 Ghanaian general elections. He won on the ticket of the New Patriotic Party. His constituency was a part of the 36 parliamentary seats out of 39 seats won by the New Patriotic Party in that election for the Ashanti Region.
Kan-Dapaah's third term as a parliamentarian from Afigya-Sekyere West in Ghana's Ashanti Region was confirmed in the 2004 general elections. He won on the New Patriotic Party ticket. The constituency was among the 36 seats secured by the party in that election for the Ashanti Region.