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Finding the Fourth Proportional to 6,775.66, 9,350.43 and 3,791.30

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Solution

The fourth proportional to 6,775.66, 9,350.43 and 3,791.30 is: 5,232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.66 : 9,350.43 = 3,791.30 : x
  2. Step 2: Convert to fraction form
    6,775.66/9,350.43 = 3,791.30/x
  3. Step 3: Cross multiply
    6,775.66x = 9,350.43 × 3,791.30
  4. Step 4: Simplify right side
    6,775.66x = 35,450,219.55
  5. Step 5: Solve for x
    x = 35,450,219.55/6,775.66
  6. Step 6: Final answer
    x = 5,232.00

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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.