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Finding the Fourth Proportional to 6,161.95, 9,234.28 and 4,105.63

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Solution

The fourth proportional to 6,161.95, 9,234.28 and 4,105.63 is: 6,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.95 : 9,234.28 = 4,105.63 : x
  2. Step 2: Convert to fraction form
    6,161.95/9,234.28 = 4,105.63/x
  3. Step 3: Cross multiply
    6,161.95x = 9,234.28 × 4,105.63
  4. Step 4: Simplify right side
    6,161.95x = 37,912,470.30
  5. Step 5: Solve for x
    x = 37,912,470.30/6,161.95
  6. Step 6: Final answer
    x = 6,152.68

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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.