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Finding the Fourth Proportional to 6,311.78, 9,464.49 and 3,680.13

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Solution

The fourth proportional to 6,311.78, 9,464.49 and 3,680.13 is: 5,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.78 : 9,464.49 = 3,680.13 : x
  2. Step 2: Convert to fraction form
    6,311.78/9,464.49 = 3,680.13/x
  3. Step 3: Cross multiply
    6,311.78x = 9,464.49 × 3,680.13
  4. Step 4: Simplify right side
    6,311.78x = 34,830,553.58
  5. Step 5: Solve for x
    x = 34,830,553.58/6,311.78
  6. Step 6: Final answer
    x = 5,518.34

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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.