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Finding the Fourth Proportional to 6,667.00, 9,200.34 and 3,682.78

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Solution

The fourth proportional to 6,667.00, 9,200.34 and 3,682.78 is: 5,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.00 : 9,200.34 = 3,682.78 : x
  2. Step 2: Convert to fraction form
    6,667.00/9,200.34 = 3,682.78/x
  3. Step 3: Cross multiply
    6,667.00x = 9,200.34 × 3,682.78
  4. Step 4: Simplify right side
    6,667.00x = 33,882,805.14
  5. Step 5: Solve for x
    x = 33,882,805.14/6,667.00
  6. Step 6: Final answer
    x = 5,082.17

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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.