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Finding the Fourth Proportional to 9,141.87, 13,711.14 and 2,566.41

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Solution

The fourth proportional to 9,141.87, 13,711.14 and 2,566.41 is: 3,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.87 : 13,711.14 = 2,566.41 : x
  2. Step 2: Convert to fraction form
    9,141.87/13,711.14 = 2,566.41/x
  3. Step 3: Cross multiply
    9,141.87x = 13,711.14 × 2,566.41
  4. Step 4: Simplify right side
    9,141.87x = 35,188,406.81
  5. Step 5: Solve for x
    x = 35,188,406.81/9,141.87
  6. Step 6: Final answer
    x = 3,849.15

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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.