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Finding the Fourth Proportional to 9,224.38, 12,730.16 and 6,982.30

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Solution

The fourth proportional to 9,224.38, 12,730.16 and 6,982.30 is: 9,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.38 : 12,730.16 = 6,982.30 : x
  2. Step 2: Convert to fraction form
    9,224.38/12,730.16 = 6,982.30/x
  3. Step 3: Cross multiply
    9,224.38x = 12,730.16 × 6,982.30
  4. Step 4: Simplify right side
    9,224.38x = 88,885,796.17
  5. Step 5: Solve for x
    x = 88,885,796.17/9,224.38
  6. Step 6: Final answer
    x = 9,635.96

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Why These Related Problems?

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