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Finding the Fourth Proportional to 6,667.28, 9,199 and 3,834.50

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Solution

The fourth proportional to 6,667.28, 9,199 and 3,834.50 is: 5,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.28 : 9,199 = 3,834.50 : x
  2. Step 2: Convert to fraction form
    6,667.28/9,199 = 3,834.50/x
  3. Step 3: Cross multiply
    6,667.28x = 9,199 × 3,834.50
  4. Step 4: Simplify right side
    6,667.28x = 35,273,565.50
  5. Step 5: Solve for x
    x = 35,273,565.50/6,667.28
  6. Step 6: Final answer
    x = 5,290.55

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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.