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Finding the Fourth Proportional to 6,500.89, 9,767.39 and 4,161.92

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Solution

The fourth proportional to 6,500.89, 9,767.39 and 4,161.92 is: 6,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.89 : 9,767.39 = 4,161.92 : x
  2. Step 2: Convert to fraction form
    6,500.89/9,767.39 = 4,161.92/x
  3. Step 3: Cross multiply
    6,500.89x = 9,767.39 × 4,161.92
  4. Step 4: Simplify right side
    6,500.89x = 40,651,026.14
  5. Step 5: Solve for x
    x = 40,651,026.14/6,500.89
  6. Step 6: Final answer
    x = 6,253.15

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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.