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Finding the Fourth Proportional to 6,164.25, 9,234.20 and 4,077.95

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Solution

The fourth proportional to 6,164.25, 9,234.20 and 4,077.95 is: 6,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.25 : 9,234.20 = 4,077.95 : x
  2. Step 2: Convert to fraction form
    6,164.25/9,234.20 = 4,077.95/x
  3. Step 3: Cross multiply
    6,164.25x = 9,234.20 × 4,077.95
  4. Step 4: Simplify right side
    6,164.25x = 37,656,569.91
  5. Step 5: Solve for x
    x = 37,656,569.91/6,164.25
  6. Step 6: Final answer
    x = 6,108.87

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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.