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Finding the Fourth Proportional to 6,778.08, 9,352.80 and 3,793.68

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Solution

The fourth proportional to 6,778.08, 9,352.80 and 3,793.68 is: 5,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.08 : 9,352.80 = 3,793.68 : x
  2. Step 2: Convert to fraction form
    6,778.08/9,352.80 = 3,793.68/x
  3. Step 3: Cross multiply
    6,778.08x = 9,352.80 × 3,793.68
  4. Step 4: Simplify right side
    6,778.08x = 35,481,530.30
  5. Step 5: Solve for x
    x = 35,481,530.30/6,778.08
  6. Step 6: Final answer
    x = 5,234.75

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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.