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Finding the Fourth Proportional to 6,182.80, 9,273.18 and 2,022.74

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Solution

The fourth proportional to 6,182.80, 9,273.18 and 2,022.74 is: 3,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.80 : 9,273.18 = 2,022.74 : x
  2. Step 2: Convert to fraction form
    6,182.80/9,273.18 = 2,022.74/x
  3. Step 3: Cross multiply
    6,182.80x = 9,273.18 × 2,022.74
  4. Step 4: Simplify right side
    6,182.80x = 18,757,232.11
  5. Step 5: Solve for x
    x = 18,757,232.11/6,182.80
  6. Step 6: Final answer
    x = 3,033.78

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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.