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Finding the Fourth Proportional to 6,150.43, 9,222.92 and 1,766.87

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Solution

The fourth proportional to 6,150.43, 9,222.92 and 1,766.87 is: 2,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.43 : 9,222.92 = 1,766.87 : x
  2. Step 2: Convert to fraction form
    6,150.43/9,222.92 = 1,766.87/x
  3. Step 3: Cross multiply
    6,150.43x = 9,222.92 × 1,766.87
  4. Step 4: Simplify right side
    6,150.43x = 16,295,700.66
  5. Step 5: Solve for x
    x = 16,295,700.66/6,150.43
  6. Step 6: Final answer
    x = 2,649.52

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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.