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Finding the Fourth Proportional to 6,705.38, 10,073.88 and 6,332.40

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Solution

The fourth proportional to 6,705.38, 10,073.88 and 6,332.40 is: 9,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.38 : 10,073.88 = 6,332.40 : x
  2. Step 2: Convert to fraction form
    6,705.38/10,073.88 = 6,332.40/x
  3. Step 3: Cross multiply
    6,705.38x = 10,073.88 × 6,332.40
  4. Step 4: Simplify right side
    6,705.38x = 63,791,837.71
  5. Step 5: Solve for x
    x = 63,791,837.71/6,705.38
  6. Step 6: Final answer
    x = 9,513.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.