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Finding the Fourth Proportional to 6,140.06, 9,211.02 and 2,243.56

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Solution

The fourth proportional to 6,140.06, 9,211.02 and 2,243.56 is: 3,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.06 : 9,211.02 = 2,243.56 : x
  2. Step 2: Convert to fraction form
    6,140.06/9,211.02 = 2,243.56/x
  3. Step 3: Cross multiply
    6,140.06x = 9,211.02 × 2,243.56
  4. Step 4: Simplify right side
    6,140.06x = 20,665,476.03
  5. Step 5: Solve for x
    x = 20,665,476.03/6,140.06
  6. Step 6: Final answer
    x = 3,365.68

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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.