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Finding the Fourth Proportional to 9,156.18, 12,635.81 and 5,177.22

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Solution

The fourth proportional to 9,156.18, 12,635.81 and 5,177.22 is: 7,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.18 : 12,635.81 = 5,177.22 : x
  2. Step 2: Convert to fraction form
    9,156.18/12,635.81 = 5,177.22/x
  3. Step 3: Cross multiply
    9,156.18x = 12,635.81 × 5,177.22
  4. Step 4: Simplify right side
    9,156.18x = 65,418,314.39
  5. Step 5: Solve for x
    x = 65,418,314.39/9,156.18
  6. Step 6: Final answer
    x = 7,144.71

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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.