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Finding the Fourth Proportional to 9,418.38, 12,997.97 and 5,226.63

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Solution

The fourth proportional to 9,418.38, 12,997.97 and 5,226.63 is: 7,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.38 : 12,997.97 = 5,226.63 : x
  2. Step 2: Convert to fraction form
    9,418.38/12,997.97 = 5,226.63/x
  3. Step 3: Cross multiply
    9,418.38x = 12,997.97 × 5,226.63
  4. Step 4: Simplify right side
    9,418.38x = 67,935,579.94
  5. Step 5: Solve for x
    x = 67,935,579.94/9,418.38
  6. Step 6: Final answer
    x = 7,213.09

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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.