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Finding the Fourth Proportional to 8,942.36, 12,340.40 and 4,963.46

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Solution

The fourth proportional to 8,942.36, 12,340.40 and 4,963.46 is: 6,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.36 : 12,340.40 = 4,963.46 : x
  2. Step 2: Convert to fraction form
    8,942.36/12,340.40 = 4,963.46/x
  3. Step 3: Cross multiply
    8,942.36x = 12,340.40 × 4,963.46
  4. Step 4: Simplify right side
    8,942.36x = 61,251,081.78
  5. Step 5: Solve for x
    x = 61,251,081.78/8,942.36
  6. Step 6: Final answer
    x = 6,849.54

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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.