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Finding the Fourth Proportional to 6,265.71, 9,387.63 and 5,587.74

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Solution

The fourth proportional to 6,265.71, 9,387.63 and 5,587.74 is: 8,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.71 : 9,387.63 = 5,587.74 : x
  2. Step 2: Convert to fraction form
    6,265.71/9,387.63 = 5,587.74/x
  3. Step 3: Cross multiply
    6,265.71x = 9,387.63 × 5,587.74
  4. Step 4: Simplify right side
    6,265.71x = 52,455,635.66
  5. Step 5: Solve for x
    x = 52,455,635.66/6,265.71
  6. Step 6: Final answer
    x = 8,371.86

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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.