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Finding the Fourth Proportional to 9,198.29, 13,796.04 and 3,354.91

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Solution

The fourth proportional to 9,198.29, 13,796.04 and 3,354.91 is: 5,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.29 : 13,796.04 = 3,354.91 : x
  2. Step 2: Convert to fraction form
    9,198.29/13,796.04 = 3,354.91/x
  3. Step 3: Cross multiply
    9,198.29x = 13,796.04 × 3,354.91
  4. Step 4: Simplify right side
    9,198.29x = 46,284,472.56
  5. Step 5: Solve for x
    x = 46,284,472.56/9,198.29
  6. Step 6: Final answer
    x = 5,031.86

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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.