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Finding the Fourth Proportional to 6,538.38, 9,808.92 and 2,643.09

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Solution

The fourth proportional to 6,538.38, 9,808.92 and 2,643.09 is: 3,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.38 : 9,808.92 = 2,643.09 : x
  2. Step 2: Convert to fraction form
    6,538.38/9,808.92 = 2,643.09/x
  3. Step 3: Cross multiply
    6,538.38x = 9,808.92 × 2,643.09
  4. Step 4: Simplify right side
    6,538.38x = 25,925,858.36
  5. Step 5: Solve for x
    x = 25,925,858.36/6,538.38
  6. Step 6: Final answer
    x = 3,965.18

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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.