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Finding the Fourth Proportional to 6,161.38, 9,243.53 and 2,001.40

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Solution

The fourth proportional to 6,161.38, 9,243.53 and 2,001.40 is: 3,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.38 : 9,243.53 = 2,001.40 : x
  2. Step 2: Convert to fraction form
    6,161.38/9,243.53 = 2,001.40/x
  3. Step 3: Cross multiply
    6,161.38x = 9,243.53 × 2,001.40
  4. Step 4: Simplify right side
    6,161.38x = 18,500,000.94
  5. Step 5: Solve for x
    x = 18,500,000.94/6,161.38
  6. Step 6: Final answer
    x = 3,002.57

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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.