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Finding the Fourth Proportional to 6,494.31, 9,729.23 and 3,203.55

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Solution

The fourth proportional to 6,494.31, 9,729.23 and 3,203.55 is: 4,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.31 : 9,729.23 = 3,203.55 : x
  2. Step 2: Convert to fraction form
    6,494.31/9,729.23 = 3,203.55/x
  3. Step 3: Cross multiply
    6,494.31x = 9,729.23 × 3,203.55
  4. Step 4: Simplify right side
    6,494.31x = 31,168,058.75
  5. Step 5: Solve for x
    x = 31,168,058.75/6,494.31
  6. Step 6: Final answer
    x = 4,799.29

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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.