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Finding the Fourth Proportional to 9,301.92, 13,952.42 and 2,727.86

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Solution

The fourth proportional to 9,301.92, 13,952.42 and 2,727.86 is: 4,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.92 : 13,952.42 = 2,727.86 : x
  2. Step 2: Convert to fraction form
    9,301.92/13,952.42 = 2,727.86/x
  3. Step 3: Cross multiply
    9,301.92x = 13,952.42 × 2,727.86
  4. Step 4: Simplify right side
    9,301.92x = 38,060,248.42
  5. Step 5: Solve for x
    x = 38,060,248.42/9,301.92
  6. Step 6: Final answer
    x = 4,091.66

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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.