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Finding the Fourth Proportional to 8,337.84, 12,480.12 and 5,961.84

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Solution

The fourth proportional to 8,337.84, 12,480.12 and 5,961.84 is: 8,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.84 : 12,480.12 = 5,961.84 : x
  2. Step 2: Convert to fraction form
    8,337.84/12,480.12 = 5,961.84/x
  3. Step 3: Cross multiply
    8,337.84x = 12,480.12 × 5,961.84
  4. Step 4: Simplify right side
    8,337.84x = 74,404,478.62
  5. Step 5: Solve for x
    x = 74,404,478.62/8,337.84
  6. Step 6: Final answer
    x = 8,923.71

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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.