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Finding the Fourth Proportional to 9,249.45, 13,874.18 and 6,320.49

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Solution

The fourth proportional to 9,249.45, 13,874.18 and 6,320.49 is: 9,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.45 : 13,874.18 = 6,320.49 : x
  2. Step 2: Convert to fraction form
    9,249.45/13,874.18 = 6,320.49/x
  3. Step 3: Cross multiply
    9,249.45x = 13,874.18 × 6,320.49
  4. Step 4: Simplify right side
    9,249.45x = 87,691,584.35
  5. Step 5: Solve for x
    x = 87,691,584.35/9,249.45
  6. Step 6: Final answer
    x = 9,480.74

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