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Finding the Fourth Proportional to 6,195.30, 9,280.80 and 5,757.90

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Solution

The fourth proportional to 6,195.30, 9,280.80 and 5,757.90 is: 8,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.30 : 9,280.80 = 5,757.90 : x
  2. Step 2: Convert to fraction form
    6,195.30/9,280.80 = 5,757.90/x
  3. Step 3: Cross multiply
    6,195.30x = 9,280.80 × 5,757.90
  4. Step 4: Simplify right side
    6,195.30x = 53,437,918.32
  5. Step 5: Solve for x
    x = 53,437,918.32/6,195.30
  6. Step 6: Final answer
    x = 8,625.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.