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Finding the Fourth Proportional to 9,156.57, 12,635.57 and 5,177.45

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Solution

The fourth proportional to 9,156.57, 12,635.57 and 5,177.45 is: 7,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.57 : 12,635.57 = 5,177.45 : x
  2. Step 2: Convert to fraction form
    9,156.57/12,635.57 = 5,177.45/x
  3. Step 3: Cross multiply
    9,156.57x = 12,635.57 × 5,177.45
  4. Step 4: Simplify right side
    9,156.57x = 65,419,942.83
  5. Step 5: Solve for x
    x = 65,419,942.83/9,156.57
  6. Step 6: Final answer
    x = 7,144.59

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