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Finding the Fourth Proportional to 6,167.27, 9,248.47 and 2,468.81

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Solution

The fourth proportional to 6,167.27, 9,248.47 and 2,468.81 is: 3,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.27 : 9,248.47 = 2,468.81 : x
  2. Step 2: Convert to fraction form
    6,167.27/9,248.47 = 2,468.81/x
  3. Step 3: Cross multiply
    6,167.27x = 9,248.47 × 2,468.81
  4. Step 4: Simplify right side
    6,167.27x = 22,832,715.22
  5. Step 5: Solve for x
    x = 22,832,715.22/6,167.27
  6. Step 6: Final answer
    x = 3,702.24

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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.