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Dartford face a trip to FC Halifax Town in the quarter-finals of the FA Trophy.
The Darts made it through to the last eight after beating Bromley 4-2 at Princes Park on Saturday in the third round.
They are the last Kent team left in the competition after Welling, along with Bromley, were eliminated at the weekend.
Halifax made it into the next round after beating Chelmsford 3-0. They beat Maidstone United last month in the previous round.
Dartford's opponents play in Blue Square Bet North and currently sit eighth in the table. The tie will be played on Saturday, January 26.