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Finding the Fourth Proportional to 9,418.42, 12,997.38 and 5,226.67

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Solution

The fourth proportional to 9,418.42, 12,997.38 and 5,226.67 is: 7,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.42 : 12,997.38 = 5,226.67 : x
  2. Step 2: Convert to fraction form
    9,418.42/12,997.38 = 5,226.67/x
  3. Step 3: Cross multiply
    9,418.42x = 12,997.38 × 5,226.67
  4. Step 4: Simplify right side
    9,418.42x = 67,933,016.12
  5. Step 5: Solve for x
    x = 67,933,016.12/9,418.42
  6. Step 6: Final answer
    x = 7,212.78

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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.