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Finding the Fourth Proportional to 6,775, 9,348.90 and 3,789.88

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Solution

The fourth proportional to 6,775, 9,348.90 and 3,789.88 is: 5,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775 : 9,348.90 = 3,789.88 : x
  2. Step 2: Convert to fraction form
    6,775/9,348.90 = 3,789.88/x
  3. Step 3: Cross multiply
    6,775x = 9,348.90 × 3,789.88
  4. Step 4: Simplify right side
    6,775x = 35,431,209.13
  5. Step 5: Solve for x
    x = 35,431,209.13/6,775
  6. Step 6: Final answer
    x = 5,229.70

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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.