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Finding the Fourth Proportional to 9,249.39, 13,874.09 and 5,351.67

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Solution

The fourth proportional to 9,249.39, 13,874.09 and 5,351.67 is: 8,027.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.39 : 13,874.09 = 5,351.67 : x
  2. Step 2: Convert to fraction form
    9,249.39/13,874.09 = 5,351.67/x
  3. Step 3: Cross multiply
    9,249.39x = 13,874.09 × 5,351.67
  4. Step 4: Simplify right side
    9,249.39x = 74,249,524.47
  5. Step 5: Solve for x
    x = 74,249,524.47/9,249.39
  6. Step 6: Final answer
    x = 8,027.51

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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.