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Finding the Fourth Proportional to 6,535.23, 9,800.31 and 3,201.42

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Solution

The fourth proportional to 6,535.23, 9,800.31 and 3,201.42 is: 4,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.23 : 9,800.31 = 3,201.42 : x
  2. Step 2: Convert to fraction form
    6,535.23/9,800.31 = 3,201.42/x
  3. Step 3: Cross multiply
    6,535.23x = 9,800.31 × 3,201.42
  4. Step 4: Simplify right side
    6,535.23x = 31,374,908.44
  5. Step 5: Solve for x
    x = 31,374,908.44/6,535.23
  6. Step 6: Final answer
    x = 4,800.89

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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.