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Finding the Fourth Proportional to 9,140.68, 13,711.02 and 5,236.76

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Solution

The fourth proportional to 9,140.68, 13,711.02 and 5,236.76 is: 7,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.68 : 13,711.02 = 5,236.76 : x
  2. Step 2: Convert to fraction form
    9,140.68/13,711.02 = 5,236.76/x
  3. Step 3: Cross multiply
    9,140.68x = 13,711.02 × 5,236.76
  4. Step 4: Simplify right side
    9,140.68x = 71,801,321.10
  5. Step 5: Solve for x
    x = 71,801,321.10/9,140.68
  6. Step 6: Final answer
    x = 7,855.14

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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.