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Finding the Fourth Proportional to 6,102.46, 9,161.17 and 4,024.20

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Solution

The fourth proportional to 6,102.46, 9,161.17 and 4,024.20 is: 6,041.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.46 : 9,161.17 = 4,024.20 : x
  2. Step 2: Convert to fraction form
    6,102.46/9,161.17 = 4,024.20/x
  3. Step 3: Cross multiply
    6,102.46x = 9,161.17 × 4,024.20
  4. Step 4: Simplify right side
    6,102.46x = 36,866,380.31
  5. Step 5: Solve for x
    x = 36,866,380.31/6,102.46
  6. Step 6: Final answer
    x = 6,041.23

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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.