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Finding the Fourth Proportional to 6,449.01, 9,674.37 and 3,162.21

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Solution

The fourth proportional to 6,449.01, 9,674.37 and 3,162.21 is: 4,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.01 : 9,674.37 = 3,162.21 : x
  2. Step 2: Convert to fraction form
    6,449.01/9,674.37 = 3,162.21/x
  3. Step 3: Cross multiply
    6,449.01x = 9,674.37 × 3,162.21
  4. Step 4: Simplify right side
    6,449.01x = 30,592,389.56
  5. Step 5: Solve for x
    x = 30,592,389.56/6,449.01
  6. Step 6: Final answer
    x = 4,743.73

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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.