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Finding the Fourth Proportional to 9,155.82, 12,635.74 and 5,177.38

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Solution

The fourth proportional to 9,155.82, 12,635.74 and 5,177.38 is: 7,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.82 : 12,635.74 = 5,177.38 : x
  2. Step 2: Convert to fraction form
    9,155.82/12,635.74 = 5,177.38/x
  3. Step 3: Cross multiply
    9,155.82x = 12,635.74 × 5,177.38
  4. Step 4: Simplify right side
    9,155.82x = 65,420,027.56
  5. Step 5: Solve for x
    x = 65,420,027.56/9,155.82
  6. Step 6: Final answer
    x = 7,145.18

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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.