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Finding the Fourth Proportional to 6,139.05, 9,224.97 and 3,675.93

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Solution

The fourth proportional to 6,139.05, 9,224.97 and 3,675.93 is: 5,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.05 : 9,224.97 = 3,675.93 : x
  2. Step 2: Convert to fraction form
    6,139.05/9,224.97 = 3,675.93/x
  3. Step 3: Cross multiply
    6,139.05x = 9,224.97 × 3,675.93
  4. Step 4: Simplify right side
    6,139.05x = 33,910,343.97
  5. Step 5: Solve for x
    x = 33,910,343.97/6,139.05
  6. Step 6: Final answer
    x = 5,523.71

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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.