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Finding the Fourth Proportional to 9,398.35, 12,969.83 and 5,149.42

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Solution

The fourth proportional to 9,398.35, 12,969.83 and 5,149.42 is: 7,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.35 : 12,969.83 = 5,149.42 : x
  2. Step 2: Convert to fraction form
    9,398.35/12,969.83 = 5,149.42/x
  3. Step 3: Cross multiply
    9,398.35x = 12,969.83 × 5,149.42
  4. Step 4: Simplify right side
    9,398.35x = 66,787,104.44
  5. Step 5: Solve for x
    x = 66,787,104.44/9,398.35
  6. Step 6: Final answer
    x = 7,106.26

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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.