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Finding the Fourth Proportional to 9,391.68, 14,083.68 and 3,234.24

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Solution

The fourth proportional to 9,391.68, 14,083.68 and 3,234.24 is: 4,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.68 : 14,083.68 = 3,234.24 : x
  2. Step 2: Convert to fraction form
    9,391.68/14,083.68 = 3,234.24/x
  3. Step 3: Cross multiply
    9,391.68x = 14,083.68 × 3,234.24
  4. Step 4: Simplify right side
    9,391.68x = 45,550,001.20
  5. Step 5: Solve for x
    x = 45,550,001.20/9,391.68
  6. Step 6: Final answer
    x = 4,850.04

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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.