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Finding the Fourth Proportional to 6,645.92, 9,170.52 and 3,993.80

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Solution

The fourth proportional to 6,645.92, 9,170.52 and 3,993.80 is: 5,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.92 : 9,170.52 = 3,993.80 : x
  2. Step 2: Convert to fraction form
    6,645.92/9,170.52 = 3,993.80/x
  3. Step 3: Cross multiply
    6,645.92x = 9,170.52 × 3,993.80
  4. Step 4: Simplify right side
    6,645.92x = 36,625,222.78
  5. Step 5: Solve for x
    x = 36,625,222.78/6,645.92
  6. Step 6: Final answer
    x = 5,510.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.