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Finding the Fourth Proportional to 6,447.39, 9,674.42 and 2,748.63

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Solution

The fourth proportional to 6,447.39, 9,674.42 and 2,748.63 is: 4,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.39 : 9,674.42 = 2,748.63 : x
  2. Step 2: Convert to fraction form
    6,447.39/9,674.42 = 2,748.63/x
  3. Step 3: Cross multiply
    6,447.39x = 9,674.42 × 2,748.63
  4. Step 4: Simplify right side
    6,447.39x = 26,591,419.56
  5. Step 5: Solve for x
    x = 26,591,419.56/6,447.39
  6. Step 6: Final answer
    x = 4,124.37

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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.