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Finding the Fourth Proportional to 9,952.27, 13,727.07 and 8,449.82

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Solution

The fourth proportional to 9,952.27, 13,727.07 and 8,449.82 is: 11,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.27 : 13,727.07 = 8,449.82 : x
  2. Step 2: Convert to fraction form
    9,952.27/13,727.07 = 8,449.82/x
  3. Step 3: Cross multiply
    9,952.27x = 13,727.07 × 8,449.82
  4. Step 4: Simplify right side
    9,952.27x = 115,991,253.47
  5. Step 5: Solve for x
    x = 115,991,253.47/9,952.27
  6. Step 6: Final answer
    x = 11,654.76

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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.