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Finding the Fourth Proportional to 9,344.12, 12,884.22 and 6,982.28

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Solution

The fourth proportional to 9,344.12, 12,884.22 and 6,982.28 is: 9,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.12 : 12,884.22 = 6,982.28 : x
  2. Step 2: Convert to fraction form
    9,344.12/12,884.22 = 6,982.28/x
  3. Step 3: Cross multiply
    9,344.12x = 12,884.22 × 6,982.28
  4. Step 4: Simplify right side
    9,344.12x = 89,961,231.62
  5. Step 5: Solve for x
    x = 89,961,231.62/9,344.12
  6. Step 6: Final answer
    x = 9,627.58

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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.