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Finding the Fourth Proportional to 8,942.33, 12,340.82 and 4,963.50

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Solution

The fourth proportional to 8,942.33, 12,340.82 and 4,963.50 is: 6,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.33 : 12,340.82 = 4,963.50 : x
  2. Step 2: Convert to fraction form
    8,942.33/12,340.82 = 4,963.50/x
  3. Step 3: Cross multiply
    8,942.33x = 12,340.82 × 4,963.50
  4. Step 4: Simplify right side
    8,942.33x = 61,253,672.48
  5. Step 5: Solve for x
    x = 61,253,672.48/8,942.33
  6. Step 6: Final answer
    x = 6,849.85

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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.