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Finding the Fourth Proportional to 6,342.17, 9,512.97 and 1,662.08

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Solution

The fourth proportional to 6,342.17, 9,512.97 and 1,662.08 is: 2,493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.17 : 9,512.97 = 1,662.08 : x
  2. Step 2: Convert to fraction form
    6,342.17/9,512.97 = 1,662.08/x
  3. Step 3: Cross multiply
    6,342.17x = 9,512.97 × 1,662.08
  4. Step 4: Simplify right side
    6,342.17x = 15,811,293.68
  5. Step 5: Solve for x
    x = 15,811,293.68/6,342.17
  6. Step 6: Final answer
    x = 2,493.04

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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.