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Finding the Fourth Proportional to 9,196.40, 13,783.44 and 3,991.52

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Solution

The fourth proportional to 9,196.40, 13,783.44 and 3,991.52 is: 5,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.40 : 13,783.44 = 3,991.52 : x
  2. Step 2: Convert to fraction form
    9,196.40/13,783.44 = 3,991.52/x
  3. Step 3: Cross multiply
    9,196.40x = 13,783.44 × 3,991.52
  4. Step 4: Simplify right side
    9,196.40x = 55,016,876.43
  5. Step 5: Solve for x
    x = 55,016,876.43/9,196.40
  6. Step 6: Final answer
    x = 5,982.44

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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.