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Finding the Fourth Proportional to 9,983.28, 13,677.07 and 9,609.42

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Solution

The fourth proportional to 9,983.28, 13,677.07 and 9,609.42 is: 13,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.28 : 13,677.07 = 9,609.42 : x
  2. Step 2: Convert to fraction form
    9,983.28/13,677.07 = 9,609.42/x
  3. Step 3: Cross multiply
    9,983.28x = 13,677.07 × 9,609.42
  4. Step 4: Simplify right side
    9,983.28x = 131,428,710.00
  5. Step 5: Solve for x
    x = 131,428,710.00/9,983.28
  6. Step 6: Final answer
    x = 13,164.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.