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Finding the Fourth Proportional to 6,142.26, 9,220.55 and 3,024.84

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Solution

The fourth proportional to 6,142.26, 9,220.55 and 3,024.84 is: 4,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.26 : 9,220.55 = 3,024.84 : x
  2. Step 2: Convert to fraction form
    6,142.26/9,220.55 = 3,024.84/x
  3. Step 3: Cross multiply
    6,142.26x = 9,220.55 × 3,024.84
  4. Step 4: Simplify right side
    6,142.26x = 27,890,688.46
  5. Step 5: Solve for x
    x = 27,890,688.46/6,142.26
  6. Step 6: Final answer
    x = 4,540.79

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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.