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Finding the Fourth Proportional to 8,241.35, 11,362.68 and 6,912.14

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Solution

The fourth proportional to 8,241.35, 11,362.68 and 6,912.14 is: 9,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.35 : 11,362.68 = 6,912.14 : x
  2. Step 2: Convert to fraction form
    8,241.35/11,362.68 = 6,912.14/x
  3. Step 3: Cross multiply
    8,241.35x = 11,362.68 × 6,912.14
  4. Step 4: Simplify right side
    8,241.35x = 78,540,378.12
  5. Step 5: Solve for x
    x = 78,540,378.12/8,241.35
  6. Step 6: Final answer
    x = 9,530.04

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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.