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Finding the Fourth Proportional to 9,542.79, 13,169.19 and 5,765.43

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Solution

The fourth proportional to 9,542.79, 13,169.19 and 5,765.43 is: 7,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.79 : 13,169.19 = 5,765.43 : x
  2. Step 2: Convert to fraction form
    9,542.79/13,169.19 = 5,765.43/x
  3. Step 3: Cross multiply
    9,542.79x = 13,169.19 × 5,765.43
  4. Step 4: Simplify right side
    9,542.79x = 75,926,014.27
  5. Step 5: Solve for x
    x = 75,926,014.27/9,542.79
  6. Step 6: Final answer
    x = 7,956.37

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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.