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Finding the Fourth Proportional to 6,206.17, 9,308.08 and 3,241.42

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Solution

The fourth proportional to 6,206.17, 9,308.08 and 3,241.42 is: 4,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.17 : 9,308.08 = 3,241.42 : x
  2. Step 2: Convert to fraction form
    6,206.17/9,308.08 = 3,241.42/x
  3. Step 3: Cross multiply
    6,206.17x = 9,308.08 × 3,241.42
  4. Step 4: Simplify right side
    6,206.17x = 30,171,377.46
  5. Step 5: Solve for x
    x = 30,171,377.46/6,206.17
  6. Step 6: Final answer
    x = 4,861.51

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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.