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Finding the Fourth Proportional to 6,182.46, 9,272.74 and 2,022.49

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Solution

The fourth proportional to 6,182.46, 9,272.74 and 2,022.49 is: 3,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.46 : 9,272.74 = 2,022.49 : x
  2. Step 2: Convert to fraction form
    6,182.46/9,272.74 = 2,022.49/x
  3. Step 3: Cross multiply
    6,182.46x = 9,272.74 × 2,022.49
  4. Step 4: Simplify right side
    6,182.46x = 18,754,023.92
  5. Step 5: Solve for x
    x = 18,754,023.92/6,182.46
  6. Step 6: Final answer
    x = 3,033.42

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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.