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Finding the Fourth Proportional to 6,201.78, 9,301.62 and 1,818.24

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Solution

The fourth proportional to 6,201.78, 9,301.62 and 1,818.24 is: 2,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.78 : 9,301.62 = 1,818.24 : x
  2. Step 2: Convert to fraction form
    6,201.78/9,301.62 = 1,818.24/x
  3. Step 3: Cross multiply
    6,201.78x = 9,301.62 × 1,818.24
  4. Step 4: Simplify right side
    6,201.78x = 16,912,577.55
  5. Step 5: Solve for x
    x = 16,912,577.55/6,201.78
  6. Step 6: Final answer
    x = 2,727.05

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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.