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Finding the Fourth Proportional to 9,149.60, 13,724.40 and 7,997.60

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Solution

The fourth proportional to 9,149.60, 13,724.40 and 7,997.60 is: 11,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.60 : 13,724.40 = 7,997.60 : x
  2. Step 2: Convert to fraction form
    9,149.60/13,724.40 = 7,997.60/x
  3. Step 3: Cross multiply
    9,149.60x = 13,724.40 × 7,997.60
  4. Step 4: Simplify right side
    9,149.60x = 109,762,261.44
  5. Step 5: Solve for x
    x = 109,762,261.44/9,149.60
  6. Step 6: Final answer
    x = 11,996.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.