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Finding the Fourth Proportional to 6,776.20, 9,350.34 and 3,791.80

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Solution

The fourth proportional to 6,776.20, 9,350.34 and 3,791.80 is: 5,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.20 : 9,350.34 = 3,791.80 : x
  2. Step 2: Convert to fraction form
    6,776.20/9,350.34 = 3,791.80/x
  3. Step 3: Cross multiply
    6,776.20x = 9,350.34 × 3,791.80
  4. Step 4: Simplify right side
    6,776.20x = 35,454,619.21
  5. Step 5: Solve for x
    x = 35,454,619.21/6,776.20
  6. Step 6: Final answer
    x = 5,232.23

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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.