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The Orioles offered slugging first baseman Adam Dunn a four-year deal for $40 million before he signed Thursday with the Chicago White Sox for four years and $56 million, according to an industry source.

The Orioles' offer to Dunn was twice what Dunn signed for in 2009, when he received two years and $20 million from the Washington Nationals.

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The club has now struck out twice in its attempt to land a free agent first baseman -- they also offered Victor Martinez four years and $48 million before he signed with the Detroit Tigers for four years and $50 million.

The Orioles are still hoping they can ink Paul Konerko, who had an MVP-type season with the White Sox in 2010.

Although on the surface the signing of Dunn fills the hole left by Konerko, the White Sox are believed to be still interested in re-signing Konerko and having Dunn play primarily at DH.

One industry source believes that the Dunn signing helps the White Sox cause with Konerko, because it shows the team is doing what it takes to catch the Minnesota Twins in the AL Central.

White Sox GM Kenny Williams told Chicago media during a Thursday teleconference that re-signing Konerko was a priority, though he also had contingency plans if that didn't happen. No deal is expected with Konerko until at least the winter meetings, which begin Monday.

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