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Finding the Fourth Proportional to 6,098.69, 9,147.92 and 2,811.80

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Solution

The fourth proportional to 6,098.69, 9,147.92 and 2,811.80 is: 4,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.69 : 9,147.92 = 2,811.80 : x
  2. Step 2: Convert to fraction form
    6,098.69/9,147.92 = 2,811.80/x
  3. Step 3: Cross multiply
    6,098.69x = 9,147.92 × 2,811.80
  4. Step 4: Simplify right side
    6,098.69x = 25,722,130.27
  5. Step 5: Solve for x
    x = 25,722,130.27/6,098.69
  6. Step 6: Final answer
    x = 4,217.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.