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Finding the Fourth Proportional to 6,204.73, 9,308.63 and 3,086.22

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Solution

The fourth proportional to 6,204.73, 9,308.63 and 3,086.22 is: 4,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.73 : 9,308.63 = 3,086.22 : x
  2. Step 2: Convert to fraction form
    6,204.73/9,308.63 = 3,086.22/x
  3. Step 3: Cross multiply
    6,204.73x = 9,308.63 × 3,086.22
  4. Step 4: Simplify right side
    6,204.73x = 28,728,418.10
  5. Step 5: Solve for x
    x = 28,728,418.10/6,204.73
  6. Step 6: Final answer
    x = 4,630.08

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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.