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Finding the Fourth Proportional to 6,535.30, 9,801.91 and 5,431.80

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Solution

The fourth proportional to 6,535.30, 9,801.91 and 5,431.80 is: 8,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.30 : 9,801.91 = 5,431.80 : x
  2. Step 2: Convert to fraction form
    6,535.30/9,801.91 = 5,431.80/x
  3. Step 3: Cross multiply
    6,535.30x = 9,801.91 × 5,431.80
  4. Step 4: Simplify right side
    6,535.30x = 53,241,965.73
  5. Step 5: Solve for x
    x = 53,241,965.73/6,535.30
  6. Step 6: Final answer
    x = 8,146.83

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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.