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Finding the Fourth Proportional to 8,942.40, 13,414.95 and 3,097.44

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Solution

The fourth proportional to 8,942.40, 13,414.95 and 3,097.44 is: 4,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.40 : 13,414.95 = 3,097.44 : x
  2. Step 2: Convert to fraction form
    8,942.40/13,414.95 = 3,097.44/x
  3. Step 3: Cross multiply
    8,942.40x = 13,414.95 × 3,097.44
  4. Step 4: Simplify right side
    8,942.40x = 41,552,002.73
  5. Step 5: Solve for x
    x = 41,552,002.73/8,942.40
  6. Step 6: Final answer
    x = 4,646.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.