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Finding the Fourth Proportional to 9,077.43, 13,614.09 and 3,453.09

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Solution

The fourth proportional to 9,077.43, 13,614.09 and 3,453.09 is: 5,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.43 : 13,614.09 = 3,453.09 : x
  2. Step 2: Convert to fraction form
    9,077.43/13,614.09 = 3,453.09/x
  3. Step 3: Cross multiply
    9,077.43x = 13,614.09 × 3,453.09
  4. Step 4: Simplify right side
    9,077.43x = 47,010,678.04
  5. Step 5: Solve for x
    x = 47,010,678.04/9,077.43
  6. Step 6: Final answer
    x = 5,178.85

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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.