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Finding the Fourth Proportional to 6,776.89, 9,352.29 and 3,793.24

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Solution

The fourth proportional to 6,776.89, 9,352.29 and 3,793.24 is: 5,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.89 : 9,352.29 = 3,793.24 : x
  2. Step 2: Convert to fraction form
    6,776.89/9,352.29 = 3,793.24/x
  3. Step 3: Cross multiply
    6,776.89x = 9,352.29 × 3,793.24
  4. Step 4: Simplify right side
    6,776.89x = 35,475,480.52
  5. Step 5: Solve for x
    x = 35,475,480.52/6,776.89
  6. Step 6: Final answer
    x = 5,234.77

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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.