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Finding the Fourth Proportional to 9,757.30, 14,635.89 and 3,183.49

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Solution

The fourth proportional to 9,757.30, 14,635.89 and 3,183.49 is: 4,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.30 : 14,635.89 = 3,183.49 : x
  2. Step 2: Convert to fraction form
    9,757.30/14,635.89 = 3,183.49/x
  3. Step 3: Cross multiply
    9,757.30x = 14,635.89 × 3,183.49
  4. Step 4: Simplify right side
    9,757.30x = 46,593,209.46
  5. Step 5: Solve for x
    x = 46,593,209.46/9,757.30
  6. Step 6: Final answer
    x = 4,775.22

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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.