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Finding the Fourth Proportional to 6,236.06, 9,354.10 and 3,637.18

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Solution

The fourth proportional to 6,236.06, 9,354.10 and 3,637.18 is: 5,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.06 : 9,354.10 = 3,637.18 : x
  2. Step 2: Convert to fraction form
    6,236.06/9,354.10 = 3,637.18/x
  3. Step 3: Cross multiply
    6,236.06x = 9,354.10 × 3,637.18
  4. Step 4: Simplify right side
    6,236.06x = 34,022,545.44
  5. Step 5: Solve for x
    x = 34,022,545.44/6,236.06
  6. Step 6: Final answer
    x = 5,455.78

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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.