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Finding the Fourth Proportional to 9,155.91, 12,635.69 and 5,177.39

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Solution

The fourth proportional to 9,155.91, 12,635.69 and 5,177.39 is: 7,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.91 : 12,635.69 = 5,177.39 : x
  2. Step 2: Convert to fraction form
    9,155.91/12,635.69 = 5,177.39/x
  3. Step 3: Cross multiply
    9,155.91x = 12,635.69 × 5,177.39
  4. Step 4: Simplify right side
    9,155.91x = 65,419,900.75
  5. Step 5: Solve for x
    x = 65,419,900.75/9,155.91
  6. Step 6: Final answer
    x = 7,145.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.