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Finding the Fourth Proportional to 10,034.28, 13,849.62 and 9,565.56

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Solution

The fourth proportional to 10,034.28, 13,849.62 and 9,565.56 is: 13,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.28 : 13,849.62 = 9,565.56 : x
  2. Step 2: Convert to fraction form
    10,034.28/13,849.62 = 9,565.56/x
  3. Step 3: Cross multiply
    10,034.28x = 13,849.62 × 9,565.56
  4. Step 4: Simplify right side
    10,034.28x = 132,479,371.09
  5. Step 5: Solve for x
    x = 132,479,371.09/10,034.28
  6. Step 6: Final answer
    x = 13,202.68

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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.