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Finding the Fourth Proportional to 6,203.86, 9,299.24 and 2,042.78

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Solution

The fourth proportional to 6,203.86, 9,299.24 and 2,042.78 is: 3,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.86 : 9,299.24 = 2,042.78 : x
  2. Step 2: Convert to fraction form
    6,203.86/9,299.24 = 2,042.78/x
  3. Step 3: Cross multiply
    6,203.86x = 9,299.24 × 2,042.78
  4. Step 4: Simplify right side
    6,203.86x = 18,996,301.49
  5. Step 5: Solve for x
    x = 18,996,301.49/6,203.86
  6. Step 6: Final answer
    x = 3,062.01

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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.