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Finding the Fourth Proportional to 6,778.35, 9,353.61 and 3,793.50

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Solution

The fourth proportional to 6,778.35, 9,353.61 and 3,793.50 is: 5,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.35 : 9,353.61 = 3,793.50 : x
  2. Step 2: Convert to fraction form
    6,778.35/9,353.61 = 3,793.50/x
  3. Step 3: Cross multiply
    6,778.35x = 9,353.61 × 3,793.50
  4. Step 4: Simplify right side
    6,778.35x = 35,482,919.54
  5. Step 5: Solve for x
    x = 35,482,919.54/6,778.35
  6. Step 6: Final answer
    x = 5,234.74

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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.