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Finding the Fourth Proportional to 6,515.38, 9,765.99 and 3,179.83

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Solution

The fourth proportional to 6,515.38, 9,765.99 and 3,179.83 is: 4,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.38 : 9,765.99 = 3,179.83 : x
  2. Step 2: Convert to fraction form
    6,515.38/9,765.99 = 3,179.83/x
  3. Step 3: Cross multiply
    6,515.38x = 9,765.99 × 3,179.83
  4. Step 4: Simplify right side
    6,515.38x = 31,054,187.98
  5. Step 5: Solve for x
    x = 31,054,187.98/6,515.38
  6. Step 6: Final answer
    x = 4,766.29

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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.