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Finding the Fourth Proportional to 6,311.11, 9,456.20 and 3,838.45

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Solution

The fourth proportional to 6,311.11, 9,456.20 and 3,838.45 is: 5,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.11 : 9,456.20 = 3,838.45 : x
  2. Step 2: Convert to fraction form
    6,311.11/9,456.20 = 3,838.45/x
  3. Step 3: Cross multiply
    6,311.11x = 9,456.20 × 3,838.45
  4. Step 4: Simplify right side
    6,311.11x = 36,297,108.06
  5. Step 5: Solve for x
    x = 36,297,108.06/6,311.11
  6. Step 6: Final answer
    x = 5,751.31

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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.