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Finding the Fourth Proportional to 9,398.13, 12,969.42 and 5,149.20

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Solution

The fourth proportional to 9,398.13, 12,969.42 and 5,149.20 is: 7,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.13 : 12,969.42 = 5,149.20 : x
  2. Step 2: Convert to fraction form
    9,398.13/12,969.42 = 5,149.20/x
  3. Step 3: Cross multiply
    9,398.13x = 12,969.42 × 5,149.20
  4. Step 4: Simplify right side
    9,398.13x = 66,782,137.46
  5. Step 5: Solve for x
    x = 66,782,137.46/9,398.13
  6. Step 6: Final answer
    x = 7,105.90

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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.