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Finding the Fourth Proportional to 9,404.71, 14,107.16 and 3,854.18

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Solution

The fourth proportional to 9,404.71, 14,107.16 and 3,854.18 is: 5,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.71 : 14,107.16 = 3,854.18 : x
  2. Step 2: Convert to fraction form
    9,404.71/14,107.16 = 3,854.18/x
  3. Step 3: Cross multiply
    9,404.71x = 14,107.16 × 3,854.18
  4. Step 4: Simplify right side
    9,404.71x = 54,371,578.83
  5. Step 5: Solve for x
    x = 54,371,578.83/9,404.71
  6. Step 6: Final answer
    x = 5,781.32

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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.