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Finding the Fourth Proportional to 6,575.32, 9,843.84 and 3,447.91

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Solution

The fourth proportional to 6,575.32, 9,843.84 and 3,447.91 is: 5,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.32 : 9,843.84 = 3,447.91 : x
  2. Step 2: Convert to fraction form
    6,575.32/9,843.84 = 3,447.91/x
  3. Step 3: Cross multiply
    6,575.32x = 9,843.84 × 3,447.91
  4. Step 4: Simplify right side
    6,575.32x = 33,940,674.37
  5. Step 5: Solve for x
    x = 33,940,674.37/6,575.32
  6. Step 6: Final answer
    x = 5,161.83

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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.