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Finding the Fourth Proportional to 6,354.82, 9,534.16 and 3,067.30

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Solution

The fourth proportional to 6,354.82, 9,534.16 and 3,067.30 is: 4,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.82 : 9,534.16 = 3,067.30 : x
  2. Step 2: Convert to fraction form
    6,354.82/9,534.16 = 3,067.30/x
  3. Step 3: Cross multiply
    6,354.82x = 9,534.16 × 3,067.30
  4. Step 4: Simplify right side
    6,354.82x = 29,244,128.97
  5. Step 5: Solve for x
    x = 29,244,128.97/6,354.82
  6. Step 6: Final answer
    x = 4,601.88

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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.