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Finding the Fourth Proportional to 6,343.02, 9,512.08 and 2,182.24

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Solution

The fourth proportional to 6,343.02, 9,512.08 and 2,182.24 is: 3,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.02 : 9,512.08 = 2,182.24 : x
  2. Step 2: Convert to fraction form
    6,343.02/9,512.08 = 2,182.24/x
  3. Step 3: Cross multiply
    6,343.02x = 9,512.08 × 2,182.24
  4. Step 4: Simplify right side
    6,343.02x = 20,757,641.46
  5. Step 5: Solve for x
    x = 20,757,641.46/6,343.02
  6. Step 6: Final answer
    x = 3,272.52

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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.