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Finding the Fourth Proportional to 9,791.28, 13,502.70 and 6,428.16

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Solution

The fourth proportional to 9,791.28, 13,502.70 and 6,428.16 is: 8,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.28 : 13,502.70 = 6,428.16 : x
  2. Step 2: Convert to fraction form
    9,791.28/13,502.70 = 6,428.16/x
  3. Step 3: Cross multiply
    9,791.28x = 13,502.70 × 6,428.16
  4. Step 4: Simplify right side
    9,791.28x = 86,797,516.03
  5. Step 5: Solve for x
    x = 86,797,516.03/9,791.28
  6. Step 6: Final answer
    x = 8,864.78

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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.