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Finding the Fourth Proportional to 6,917.38, 10,350.09 and 6,542.26

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Solution

The fourth proportional to 6,917.38, 10,350.09 and 6,542.26 is: 9,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.38 : 10,350.09 = 6,542.26 : x
  2. Step 2: Convert to fraction form
    6,917.38/10,350.09 = 6,542.26/x
  3. Step 3: Cross multiply
    6,917.38x = 10,350.09 × 6,542.26
  4. Step 4: Simplify right side
    6,917.38x = 67,712,979.80
  5. Step 5: Solve for x
    x = 67,712,979.80/6,917.38
  6. Step 6: Final answer
    x = 9,788.82

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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.