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Finding the Fourth Proportional to 9,354.92, 14,032.42 and 2,781.16

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Solution

The fourth proportional to 9,354.92, 14,032.42 and 2,781.16 is: 4,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.92 : 14,032.42 = 2,781.16 : x
  2. Step 2: Convert to fraction form
    9,354.92/14,032.42 = 2,781.16/x
  3. Step 3: Cross multiply
    9,354.92x = 14,032.42 × 2,781.16
  4. Step 4: Simplify right side
    9,354.92x = 39,026,405.21
  5. Step 5: Solve for x
    x = 39,026,405.21/9,354.92
  6. Step 6: Final answer
    x = 4,171.75

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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.