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Finding the Fourth Proportional to 9,138.68, 13,708.02 and 5,234.76

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Solution

The fourth proportional to 9,138.68, 13,708.02 and 5,234.76 is: 7,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.68 : 13,708.02 = 5,234.76 : x
  2. Step 2: Convert to fraction form
    9,138.68/13,708.02 = 5,234.76/x
  3. Step 3: Cross multiply
    9,138.68x = 13,708.02 × 5,234.76
  4. Step 4: Simplify right side
    9,138.68x = 71,758,194.78
  5. Step 5: Solve for x
    x = 71,758,194.78/9,138.68
  6. Step 6: Final answer
    x = 7,852.14

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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.