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Finding the Fourth Proportional to 6,163.14, 9,243.54 and 2,003.19

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Solution

The fourth proportional to 6,163.14, 9,243.54 and 2,003.19 is: 3,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.14 : 9,243.54 = 2,003.19 : x
  2. Step 2: Convert to fraction form
    6,163.14/9,243.54 = 2,003.19/x
  3. Step 3: Cross multiply
    6,163.14x = 9,243.54 × 2,003.19
  4. Step 4: Simplify right side
    6,163.14x = 18,516,566.89
  5. Step 5: Solve for x
    x = 18,516,566.89/6,163.14
  6. Step 6: Final answer
    x = 3,004.40

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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.