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Finding the Fourth Proportional to 6,296.43, 9,441 and 3,667.17

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Solution

The fourth proportional to 6,296.43, 9,441 and 3,667.17 is: 5,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.43 : 9,441 = 3,667.17 : x
  2. Step 2: Convert to fraction form
    6,296.43/9,441 = 3,667.17/x
  3. Step 3: Cross multiply
    6,296.43x = 9,441 × 3,667.17
  4. Step 4: Simplify right side
    6,296.43x = 34,621,751.97
  5. Step 5: Solve for x
    x = 34,621,751.97/6,296.43
  6. Step 6: Final answer
    x = 5,498.63

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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.