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Finding the Fourth Proportional to 9,757.24, 14,636.12 and 3,183.80

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Solution

The fourth proportional to 9,757.24, 14,636.12 and 3,183.80 is: 4,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.24 : 14,636.12 = 3,183.80 : x
  2. Step 2: Convert to fraction form
    9,757.24/14,636.12 = 3,183.80/x
  3. Step 3: Cross multiply
    9,757.24x = 14,636.12 × 3,183.80
  4. Step 4: Simplify right side
    9,757.24x = 46,598,478.86
  5. Step 5: Solve for x
    x = 46,598,478.86/9,757.24
  6. Step 6: Final answer
    x = 4,775.78

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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.