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Finding the Fourth Proportional to 6,236.74, 9,355.09 and 2,538.09

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Solution

The fourth proportional to 6,236.74, 9,355.09 and 2,538.09 is: 3,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.74 : 9,355.09 = 2,538.09 : x
  2. Step 2: Convert to fraction form
    6,236.74/9,355.09 = 2,538.09/x
  3. Step 3: Cross multiply
    6,236.74x = 9,355.09 × 2,538.09
  4. Step 4: Simplify right side
    6,236.74x = 23,744,060.38
  5. Step 5: Solve for x
    x = 23,744,060.38/6,236.74
  6. Step 6: Final answer
    x = 3,807.13

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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.