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Finding the Fourth Proportional to 6,143.54, 9,215.33 and 3,669.48

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Solution

The fourth proportional to 6,143.54, 9,215.33 and 3,669.48 is: 5,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.54 : 9,215.33 = 3,669.48 : x
  2. Step 2: Convert to fraction form
    6,143.54/9,215.33 = 3,669.48/x
  3. Step 3: Cross multiply
    6,143.54x = 9,215.33 × 3,669.48
  4. Step 4: Simplify right side
    6,143.54x = 33,815,450.78
  5. Step 5: Solve for x
    x = 33,815,450.78/6,143.54
  6. Step 6: Final answer
    x = 5,504.23

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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.