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Finding the Fourth Proportional to 6,568.82, 9,846.97 and 2,183.20

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Solution

The fourth proportional to 6,568.82, 9,846.97 and 2,183.20 is: 3,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.82 : 9,846.97 = 2,183.20 : x
  2. Step 2: Convert to fraction form
    6,568.82/9,846.97 = 2,183.20/x
  3. Step 3: Cross multiply
    6,568.82x = 9,846.97 × 2,183.20
  4. Step 4: Simplify right side
    6,568.82x = 21,497,930.22
  5. Step 5: Solve for x
    x = 21,497,930.22/6,568.82
  6. Step 6: Final answer
    x = 3,272.72

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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.