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Finding the Fourth Proportional to 7,151.17, 9,863.20 and 6,265.44

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Solution

The fourth proportional to 7,151.17, 9,863.20 and 6,265.44 is: 8,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.17 : 9,863.20 = 6,265.44 : x
  2. Step 2: Convert to fraction form
    7,151.17/9,863.20 = 6,265.44/x
  3. Step 3: Cross multiply
    7,151.17x = 9,863.20 × 6,265.44
  4. Step 4: Simplify right side
    7,151.17x = 61,797,287.81
  5. Step 5: Solve for x
    x = 61,797,287.81/7,151.17
  6. Step 6: Final answer
    x = 8,641.56

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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.