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Finding the Fourth Proportional to 6,144.38, 9,205.01 and 3,638.15

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Solution

The fourth proportional to 6,144.38, 9,205.01 and 3,638.15 is: 5,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.38 : 9,205.01 = 3,638.15 : x
  2. Step 2: Convert to fraction form
    6,144.38/9,205.01 = 3,638.15/x
  3. Step 3: Cross multiply
    6,144.38x = 9,205.01 × 3,638.15
  4. Step 4: Simplify right side
    6,144.38x = 33,489,188.94
  5. Step 5: Solve for x
    x = 33,489,188.94/6,144.38
  6. Step 6: Final answer
    x = 5,450.38

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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.