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Finding the Fourth Proportional to 9,600.84, 14,382.09 and 5,910.26

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Solution

The fourth proportional to 9,600.84, 14,382.09 and 5,910.26 is: 8,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.84 : 14,382.09 = 5,910.26 : x
  2. Step 2: Convert to fraction form
    9,600.84/14,382.09 = 5,910.26/x
  3. Step 3: Cross multiply
    9,600.84x = 14,382.09 × 5,910.26
  4. Step 4: Simplify right side
    9,600.84x = 85,001,819.33
  5. Step 5: Solve for x
    x = 85,001,819.33/9,600.84
  6. Step 6: Final answer
    x = 8,853.58

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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.