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Finding the Fourth Proportional to 9,504.33, 14,248.78 and 3,961.83

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Solution

The fourth proportional to 9,504.33, 14,248.78 and 3,961.83 is: 5,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.33 : 14,248.78 = 3,961.83 : x
  2. Step 2: Convert to fraction form
    9,504.33/14,248.78 = 3,961.83/x
  3. Step 3: Cross multiply
    9,504.33x = 14,248.78 × 3,961.83
  4. Step 4: Simplify right side
    9,504.33x = 56,451,244.07
  5. Step 5: Solve for x
    x = 56,451,244.07/9,504.33
  6. Step 6: Final answer
    x = 5,939.53

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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.