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Finding the Fourth Proportional to 6,689.97, 9,232.43 and 3,705.57

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Solution

The fourth proportional to 6,689.97, 9,232.43 and 3,705.57 is: 5,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.97 : 9,232.43 = 3,705.57 : x
  2. Step 2: Convert to fraction form
    6,689.97/9,232.43 = 3,705.57/x
  3. Step 3: Cross multiply
    6,689.97x = 9,232.43 × 3,705.57
  4. Step 4: Simplify right side
    6,689.97x = 34,211,397.11
  5. Step 5: Solve for x
    x = 34,211,397.11/6,689.97
  6. Step 6: Final answer
    x = 5,113.83

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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.