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Finding the Fourth Proportional to 6,311.85, 9,467.16 and 2,755.54

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Solution

The fourth proportional to 6,311.85, 9,467.16 and 2,755.54 is: 4,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.85 : 9,467.16 = 2,755.54 : x
  2. Step 2: Convert to fraction form
    6,311.85/9,467.16 = 2,755.54/x
  3. Step 3: Cross multiply
    6,311.85x = 9,467.16 × 2,755.54
  4. Step 4: Simplify right side
    6,311.85x = 26,087,138.07
  5. Step 5: Solve for x
    x = 26,087,138.07/6,311.85
  6. Step 6: Final answer
    x = 4,133.04

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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.