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Finding the Fourth Proportional to 6,193.32, 9,293.84 and 3,857.91

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Solution

The fourth proportional to 6,193.32, 9,293.84 and 3,857.91 is: 5,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.32 : 9,293.84 = 3,857.91 : x
  2. Step 2: Convert to fraction form
    6,193.32/9,293.84 = 3,857.91/x
  3. Step 3: Cross multiply
    6,193.32x = 9,293.84 × 3,857.91
  4. Step 4: Simplify right side
    6,193.32x = 35,854,778.98
  5. Step 5: Solve for x
    x = 35,854,778.98/6,193.32
  6. Step 6: Final answer
    x = 5,789.27

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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.