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Finding the Fourth Proportional to 9,140.87, 13,711.21 and 2,566.71

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Solution

The fourth proportional to 9,140.87, 13,711.21 and 2,566.71 is: 3,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.87 : 13,711.21 = 2,566.71 : x
  2. Step 2: Convert to fraction form
    9,140.87/13,711.21 = 2,566.71/x
  3. Step 3: Cross multiply
    9,140.87x = 13,711.21 × 2,566.71
  4. Step 4: Simplify right side
    9,140.87x = 35,192,693.40
  5. Step 5: Solve for x
    x = 35,192,693.40/9,140.87
  6. Step 6: Final answer
    x = 3,850.04

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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.