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Finding the Fourth Proportional to 8,143.92, 12,222.36 and 3,214.80

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Solution

The fourth proportional to 8,143.92, 12,222.36 and 3,214.80 is: 4,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.92 : 12,222.36 = 3,214.80 : x
  2. Step 2: Convert to fraction form
    8,143.92/12,222.36 = 3,214.80/x
  3. Step 3: Cross multiply
    8,143.92x = 12,222.36 × 3,214.80
  4. Step 4: Simplify right side
    8,143.92x = 39,292,442.93
  5. Step 5: Solve for x
    x = 39,292,442.93/8,143.92
  6. Step 6: Final answer
    x = 4,824.76

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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.