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Finding the Fourth Proportional to 6,449.21, 9,674.49 and 2,751.83

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Solution

The fourth proportional to 6,449.21, 9,674.49 and 2,751.83 is: 4,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.21 : 9,674.49 = 2,751.83 : x
  2. Step 2: Convert to fraction form
    6,449.21/9,674.49 = 2,751.83/x
  3. Step 3: Cross multiply
    6,449.21x = 9,674.49 × 2,751.83
  4. Step 4: Simplify right side
    6,449.21x = 26,622,551.82
  5. Step 5: Solve for x
    x = 26,622,551.82/6,449.21
  6. Step 6: Final answer
    x = 4,128.03

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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.