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Finding the Fourth Proportional to 9,398.97, 14,098.44 and 3,852.33

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Solution

The fourth proportional to 9,398.97, 14,098.44 and 3,852.33 is: 5,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.97 : 14,098.44 = 3,852.33 : x
  2. Step 2: Convert to fraction form
    9,398.97/14,098.44 = 3,852.33/x
  3. Step 3: Cross multiply
    9,398.97x = 14,098.44 × 3,852.33
  4. Step 4: Simplify right side
    9,398.97x = 54,311,843.37
  5. Step 5: Solve for x
    x = 54,311,843.37/9,398.97
  6. Step 6: Final answer
    x = 5,778.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.