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Finding the Fourth Proportional to 9,140.75, 13,716.57 and 8,397.17

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Solution

The fourth proportional to 9,140.75, 13,716.57 and 8,397.17 is: 12,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.75 : 13,716.57 = 8,397.17 : x
  2. Step 2: Convert to fraction form
    9,140.75/13,716.57 = 8,397.17/x
  3. Step 3: Cross multiply
    9,140.75x = 13,716.57 × 8,397.17
  4. Step 4: Simplify right side
    9,140.75x = 115,180,301.52
  5. Step 5: Solve for x
    x = 115,180,301.52/9,140.75
  6. Step 6: Final answer
    x = 12,600.76

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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.