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Finding the Fourth Proportional to 6,447.27, 9,672.75 and 3,161.34

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Solution

The fourth proportional to 6,447.27, 9,672.75 and 3,161.34 is: 4,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.27 : 9,672.75 = 3,161.34 : x
  2. Step 2: Convert to fraction form
    6,447.27/9,672.75 = 3,161.34/x
  3. Step 3: Cross multiply
    6,447.27x = 9,672.75 × 3,161.34
  4. Step 4: Simplify right side
    6,447.27x = 30,578,851.49
  5. Step 5: Solve for x
    x = 30,578,851.49/6,447.27
  6. Step 6: Final answer
    x = 4,742.91

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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.