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Finding the Fourth Proportional to 9,486.25, 14,221.33 and 3,936.13

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Solution

The fourth proportional to 9,486.25, 14,221.33 and 3,936.13 is: 5,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.25 : 14,221.33 = 3,936.13 : x
  2. Step 2: Convert to fraction form
    9,486.25/14,221.33 = 3,936.13/x
  3. Step 3: Cross multiply
    9,486.25x = 14,221.33 × 3,936.13
  4. Step 4: Simplify right side
    9,486.25x = 55,976,958.26
  5. Step 5: Solve for x
    x = 55,976,958.26/9,486.25
  6. Step 6: Final answer
    x = 5,900.85

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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.