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Finding the Fourth Proportional to 9,542.86, 13,169.10 and 6,010.72

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Solution

The fourth proportional to 9,542.86, 13,169.10 and 6,010.72 is: 8,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.86 : 13,169.10 = 6,010.72 : x
  2. Step 2: Convert to fraction form
    9,542.86/13,169.10 = 6,010.72/x
  3. Step 3: Cross multiply
    9,542.86x = 13,169.10 × 6,010.72
  4. Step 4: Simplify right side
    9,542.86x = 79,155,772.75
  5. Step 5: Solve for x
    x = 79,155,772.75/9,542.86
  6. Step 6: Final answer
    x = 8,294.76

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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.