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Finding the Fourth Proportional to 9,142.03, 13,711.97 and 2,568.78

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Solution

The fourth proportional to 9,142.03, 13,711.97 and 2,568.78 is: 3,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.03 : 13,711.97 = 2,568.78 : x
  2. Step 2: Convert to fraction form
    9,142.03/13,711.97 = 2,568.78/x
  3. Step 3: Cross multiply
    9,142.03x = 13,711.97 × 2,568.78
  4. Step 4: Simplify right side
    9,142.03x = 35,223,034.30
  5. Step 5: Solve for x
    x = 35,223,034.30/9,142.03
  6. Step 6: Final answer
    x = 3,852.87

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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.