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Finding the Fourth Proportional to 6,342.82, 9,512.68 and 2,643.03

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Solution

The fourth proportional to 6,342.82, 9,512.68 and 2,643.03 is: 3,963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.82 : 9,512.68 = 2,643.03 : x
  2. Step 2: Convert to fraction form
    6,342.82/9,512.68 = 2,643.03/x
  3. Step 3: Cross multiply
    6,342.82x = 9,512.68 × 2,643.03
  4. Step 4: Simplify right side
    6,342.82x = 25,142,251.06
  5. Step 5: Solve for x
    x = 25,142,251.06/6,342.82
  6. Step 6: Final answer
    x = 3,963.89

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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.