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Finding the Fourth Proportional to 6,447.62, 9,674.30 and 2,752.20

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Solution

The fourth proportional to 6,447.62, 9,674.30 and 2,752.20 is: 4,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.62 : 9,674.30 = 2,752.20 : x
  2. Step 2: Convert to fraction form
    6,447.62/9,674.30 = 2,752.20/x
  3. Step 3: Cross multiply
    6,447.62x = 9,674.30 × 2,752.20
  4. Step 4: Simplify right side
    6,447.62x = 26,625,615.34
  5. Step 5: Solve for x
    x = 26,625,615.34/6,447.62
  6. Step 6: Final answer
    x = 4,129.52

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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.