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Finding the Fourth Proportional to 9,147.87, 12,617.57 and 7,744.55

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Solution

The fourth proportional to 9,147.87, 12,617.57 and 7,744.55 is: 10,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.87 : 12,617.57 = 7,744.55 : x
  2. Step 2: Convert to fraction form
    9,147.87/12,617.57 = 7,744.55/x
  3. Step 3: Cross multiply
    9,147.87x = 12,617.57 × 7,744.55
  4. Step 4: Simplify right side
    9,147.87x = 97,717,358.02
  5. Step 5: Solve for x
    x = 97,717,358.02/9,147.87
  6. Step 6: Final answer
    x = 10,681.98

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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.