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Finding the Fourth Proportional to 9,272.29, 13,825.72 and 8,241.97

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Solution

The fourth proportional to 9,272.29, 13,825.72 and 8,241.97 is: 12,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.29 : 13,825.72 = 8,241.97 : x
  2. Step 2: Convert to fraction form
    9,272.29/13,825.72 = 8,241.97/x
  3. Step 3: Cross multiply
    9,272.29x = 13,825.72 × 8,241.97
  4. Step 4: Simplify right side
    9,272.29x = 113,951,100.34
  5. Step 5: Solve for x
    x = 113,951,100.34/9,272.29
  6. Step 6: Final answer
    x = 12,289.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.