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Finding the Fourth Proportional to 6,469.17, 9,705.19 and 3,545.97

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Solution

The fourth proportional to 6,469.17, 9,705.19 and 3,545.97 is: 5,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.17 : 9,705.19 = 3,545.97 : x
  2. Step 2: Convert to fraction form
    6,469.17/9,705.19 = 3,545.97/x
  3. Step 3: Cross multiply
    6,469.17x = 9,705.19 × 3,545.97
  4. Step 4: Simplify right side
    6,469.17x = 34,414,312.58
  5. Step 5: Solve for x
    x = 34,414,312.58/6,469.17
  6. Step 6: Final answer
    x = 5,319.74

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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.