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Finding the Fourth Proportional to 9,220.92, 12,725.16 and 5,241.78

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Solution

The fourth proportional to 9,220.92, 12,725.16 and 5,241.78 is: 7,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.92 : 12,725.16 = 5,241.78 : x
  2. Step 2: Convert to fraction form
    9,220.92/12,725.16 = 5,241.78/x
  3. Step 3: Cross multiply
    9,220.92x = 12,725.16 × 5,241.78
  4. Step 4: Simplify right side
    9,220.92x = 66,702,489.18
  5. Step 5: Solve for x
    x = 66,702,489.18/9,220.92
  6. Step 6: Final answer
    x = 7,233.82

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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.