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Finding the Fourth Proportional to 8,942.37, 12,340.38 and 4,963.52

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Solution

The fourth proportional to 8,942.37, 12,340.38 and 4,963.52 is: 6,849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.37 : 12,340.38 = 4,963.52 : x
  2. Step 2: Convert to fraction form
    8,942.37/12,340.38 = 4,963.52/x
  3. Step 3: Cross multiply
    8,942.37x = 12,340.38 × 4,963.52
  4. Step 4: Simplify right side
    8,942.37x = 61,251,722.94
  5. Step 5: Solve for x
    x = 61,251,722.94/8,942.37
  6. Step 6: Final answer
    x = 6,849.61

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Why These Related Problems?

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