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Finding the Fourth Proportional to 6,778.02, 9,354.03 and 3,793.84

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Solution

The fourth proportional to 6,778.02, 9,354.03 and 3,793.84 is: 5,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.02 : 9,354.03 = 3,793.84 : x
  2. Step 2: Convert to fraction form
    6,778.02/9,354.03 = 3,793.84/x
  3. Step 3: Cross multiply
    6,778.02x = 9,354.03 × 3,793.84
  4. Step 4: Simplify right side
    6,778.02x = 35,487,693.18
  5. Step 5: Solve for x
    x = 35,487,693.18/6,778.02
  6. Step 6: Final answer
    x = 5,235.70

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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.