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Finding the Fourth Proportional to 9,241.92, 12,754.32 and 5,707.20

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Solution

The fourth proportional to 9,241.92, 12,754.32 and 5,707.20 is: 7,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.92 : 12,754.32 = 5,707.20 : x
  2. Step 2: Convert to fraction form
    9,241.92/12,754.32 = 5,707.20/x
  3. Step 3: Cross multiply
    9,241.92x = 12,754.32 × 5,707.20
  4. Step 4: Simplify right side
    9,241.92x = 72,791,455.10
  5. Step 5: Solve for x
    x = 72,791,455.10/9,241.92
  6. Step 6: Final answer
    x = 7,876.23

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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.