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Finding the Fourth Proportional to 9,077.80, 13,614.30 and 3,233.80

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Solution

The fourth proportional to 9,077.80, 13,614.30 and 3,233.80 is: 4,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.80 : 13,614.30 = 3,233.80 : x
  2. Step 2: Convert to fraction form
    9,077.80/13,614.30 = 3,233.80/x
  3. Step 3: Cross multiply
    9,077.80x = 13,614.30 × 3,233.80
  4. Step 4: Simplify right side
    9,077.80x = 44,025,923.34
  5. Step 5: Solve for x
    x = 44,025,923.34/9,077.80
  6. Step 6: Final answer
    x = 4,849.85

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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.