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Finding the Fourth Proportional to 6,379.64, 9,563.69 and 2,682.15

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Solution

The fourth proportional to 6,379.64, 9,563.69 and 2,682.15 is: 4,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.64 : 9,563.69 = 2,682.15 : x
  2. Step 2: Convert to fraction form
    6,379.64/9,563.69 = 2,682.15/x
  3. Step 3: Cross multiply
    6,379.64x = 9,563.69 × 2,682.15
  4. Step 4: Simplify right side
    6,379.64x = 25,651,237.72
  5. Step 5: Solve for x
    x = 25,651,237.72/6,379.64
  6. Step 6: Final answer
    x = 4,020.80

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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.