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Finding the Fourth Proportional to 9,982.16, 13,772.52 and 6,447.44

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Solution

The fourth proportional to 9,982.16, 13,772.52 and 6,447.44 is: 8,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.16 : 13,772.52 = 6,447.44 : x
  2. Step 2: Convert to fraction form
    9,982.16/13,772.52 = 6,447.44/x
  3. Step 3: Cross multiply
    9,982.16x = 13,772.52 × 6,447.44
  4. Step 4: Simplify right side
    9,982.16x = 88,797,496.35
  5. Step 5: Solve for x
    x = 88,797,496.35/9,982.16
  6. Step 6: Final answer
    x = 8,895.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.