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Finding the Fourth Proportional to 6,207.24, 9,310.80 and 3,757.80

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Solution

The fourth proportional to 6,207.24, 9,310.80 and 3,757.80 is: 5,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.24 : 9,310.80 = 3,757.80 : x
  2. Step 2: Convert to fraction form
    6,207.24/9,310.80 = 3,757.80/x
  3. Step 3: Cross multiply
    6,207.24x = 9,310.80 × 3,757.80
  4. Step 4: Simplify right side
    6,207.24x = 34,988,124.24
  5. Step 5: Solve for x
    x = 34,988,124.24/6,207.24
  6. Step 6: Final answer
    x = 5,636.66

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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.