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Finding the Fourth Proportional to 8,922.30, 12,311.82 and 4,943.31

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Solution

The fourth proportional to 8,922.30, 12,311.82 and 4,943.31 is: 6,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.30 : 12,311.82 = 4,943.31 : x
  2. Step 2: Convert to fraction form
    8,922.30/12,311.82 = 4,943.31/x
  3. Step 3: Cross multiply
    8,922.30x = 12,311.82 × 4,943.31
  4. Step 4: Simplify right side
    8,922.30x = 60,861,142.92
  5. Step 5: Solve for x
    x = 60,861,142.92/8,922.30
  6. Step 6: Final answer
    x = 6,821.24

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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.