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Finding the Fourth Proportional to 6,446.25, 9,672.35 and 2,549.61

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Solution

The fourth proportional to 6,446.25, 9,672.35 and 2,549.61 is: 3,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.25 : 9,672.35 = 2,549.61 : x
  2. Step 2: Convert to fraction form
    6,446.25/9,672.35 = 2,549.61/x
  3. Step 3: Cross multiply
    6,446.25x = 9,672.35 × 2,549.61
  4. Step 4: Simplify right side
    6,446.25x = 24,660,707.54
  5. Step 5: Solve for x
    x = 24,660,707.54/6,446.25
  6. Step 6: Final answer
    x = 3,825.59

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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.