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Finding the Fourth Proportional to 9,134.78, 13,694.27 and 3,591.54

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Solution

The fourth proportional to 9,134.78, 13,694.27 and 3,591.54 is: 5,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.78 : 13,694.27 = 3,591.54 : x
  2. Step 2: Convert to fraction form
    9,134.78/13,694.27 = 3,591.54/x
  3. Step 3: Cross multiply
    9,134.78x = 13,694.27 × 3,591.54
  4. Step 4: Simplify right side
    9,134.78x = 49,183,500.52
  5. Step 5: Solve for x
    x = 49,183,500.52/9,134.78
  6. Step 6: Final answer
    x = 5,384.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.