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Finding the Fourth Proportional to 6,778.30, 9,354.05 and 3,794.14

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Solution

The fourth proportional to 6,778.30, 9,354.05 and 3,794.14 is: 5,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.30 : 9,354.05 = 3,794.14 : x
  2. Step 2: Convert to fraction form
    6,778.30/9,354.05 = 3,794.14/x
  3. Step 3: Cross multiply
    6,778.30x = 9,354.05 × 3,794.14
  4. Step 4: Simplify right side
    6,778.30x = 35,490,543.83
  5. Step 5: Solve for x
    x = 35,490,543.83/6,778.30
  6. Step 6: Final answer
    x = 5,235.91

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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.