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Finding the Fourth Proportional to 9,937.97, 14,906.05 and 3,363.41

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Solution

The fourth proportional to 9,937.97, 14,906.05 and 3,363.41 is: 5,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.97 : 14,906.05 = 3,363.41 : x
  2. Step 2: Convert to fraction form
    9,937.97/14,906.05 = 3,363.41/x
  3. Step 3: Cross multiply
    9,937.97x = 14,906.05 × 3,363.41
  4. Step 4: Simplify right side
    9,937.97x = 50,135,074.69
  5. Step 5: Solve for x
    x = 50,135,074.69/9,937.97
  6. Step 6: Final answer
    x = 5,044.80

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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.