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Finding the Fourth Proportional to 6,311.42, 9,467.13 and 2,612.66

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Solution

The fourth proportional to 6,311.42, 9,467.13 and 2,612.66 is: 3,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.42 : 9,467.13 = 2,612.66 : x
  2. Step 2: Convert to fraction form
    6,311.42/9,467.13 = 2,612.66/x
  3. Step 3: Cross multiply
    6,311.42x = 9,467.13 × 2,612.66
  4. Step 4: Simplify right side
    6,311.42x = 24,734,339.63
  5. Step 5: Solve for x
    x = 24,734,339.63/6,311.42
  6. Step 6: Final answer
    x = 3,918.98

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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.