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Finding the Fourth Proportional to 6,568.86, 9,857.03 and 2,408.32

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Solution

The fourth proportional to 6,568.86, 9,857.03 and 2,408.32 is: 3,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.86 : 9,857.03 = 2,408.32 : x
  2. Step 2: Convert to fraction form
    6,568.86/9,857.03 = 2,408.32/x
  3. Step 3: Cross multiply
    6,568.86x = 9,857.03 × 2,408.32
  4. Step 4: Simplify right side
    6,568.86x = 23,738,882.49
  5. Step 5: Solve for x
    x = 23,738,882.49/6,568.86
  6. Step 6: Final answer
    x = 3,613.85

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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.