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Finding the Fourth Proportional to 9,147.97, 12,614.97 and 7,463.98

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Solution

The fourth proportional to 9,147.97, 12,614.97 and 7,463.98 is: 10,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.97 : 12,614.97 = 7,463.98 : x
  2. Step 2: Convert to fraction form
    9,147.97/12,614.97 = 7,463.98/x
  3. Step 3: Cross multiply
    9,147.97x = 12,614.97 × 7,463.98
  4. Step 4: Simplify right side
    9,147.97x = 94,157,883.78
  5. Step 5: Solve for x
    x = 94,157,883.78/9,147.97
  6. Step 6: Final answer
    x = 10,292.76

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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.