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Finding the Fourth Proportional to 6,367.92, 8,785.62 and 3,850.80

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Solution

The fourth proportional to 6,367.92, 8,785.62 and 3,850.80 is: 5,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.92 : 8,785.62 = 3,850.80 : x
  2. Step 2: Convert to fraction form
    6,367.92/8,785.62 = 3,850.80/x
  3. Step 3: Cross multiply
    6,367.92x = 8,785.62 × 3,850.80
  4. Step 4: Simplify right side
    6,367.92x = 33,831,665.50
  5. Step 5: Solve for x
    x = 33,831,665.50/6,367.92
  6. Step 6: Final answer
    x = 5,312.83

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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.