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Finding the Fourth Proportional to 6,191.61, 9,286.38 and 2,242.14

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Solution

The fourth proportional to 6,191.61, 9,286.38 and 2,242.14 is: 3,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.61 : 9,286.38 = 2,242.14 : x
  2. Step 2: Convert to fraction form
    6,191.61/9,286.38 = 2,242.14/x
  3. Step 3: Cross multiply
    6,191.61x = 9,286.38 × 2,242.14
  4. Step 4: Simplify right side
    6,191.61x = 20,821,364.05
  5. Step 5: Solve for x
    x = 20,821,364.05/6,191.61
  6. Step 6: Final answer
    x = 3,362.84

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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.