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Finding the Fourth Proportional to 6,689.92, 9,232.06 and 3,705.94

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Solution

The fourth proportional to 6,689.92, 9,232.06 and 3,705.94 is: 5,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.92 : 9,232.06 = 3,705.94 : x
  2. Step 2: Convert to fraction form
    6,689.92/9,232.06 = 3,705.94/x
  3. Step 3: Cross multiply
    6,689.92x = 9,232.06 × 3,705.94
  4. Step 4: Simplify right side
    6,689.92x = 34,213,460.44
  5. Step 5: Solve for x
    x = 34,213,460.44/6,689.92
  6. Step 6: Final answer
    x = 5,114.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.