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Finding the Fourth Proportional to 6,195.86, 9,294.22 and 2,498.12

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Solution

The fourth proportional to 6,195.86, 9,294.22 and 2,498.12 is: 3,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.86 : 9,294.22 = 2,498.12 : x
  2. Step 2: Convert to fraction form
    6,195.86/9,294.22 = 2,498.12/x
  3. Step 3: Cross multiply
    6,195.86x = 9,294.22 × 2,498.12
  4. Step 4: Simplify right side
    6,195.86x = 23,218,064.38
  5. Step 5: Solve for x
    x = 23,218,064.38/6,195.86
  6. Step 6: Final answer
    x = 3,747.35

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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.