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Finding the Fourth Proportional to 6,542.66, 9,808.46 and 2,842.09

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Solution

The fourth proportional to 6,542.66, 9,808.46 and 2,842.09 is: 4,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.66 : 9,808.46 = 2,842.09 : x
  2. Step 2: Convert to fraction form
    6,542.66/9,808.46 = 2,842.09/x
  3. Step 3: Cross multiply
    6,542.66x = 9,808.46 × 2,842.09
  4. Step 4: Simplify right side
    6,542.66x = 27,876,526.08
  5. Step 5: Solve for x
    x = 27,876,526.08/6,542.66
  6. Step 6: Final answer
    x = 4,260.73

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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.