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Finding the Fourth Proportional to 6,539.09, 9,805.41 and 3,254.02

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Solution

The fourth proportional to 6,539.09, 9,805.41 and 3,254.02 is: 4,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.09 : 9,805.41 = 3,254.02 : x
  2. Step 2: Convert to fraction form
    6,539.09/9,805.41 = 3,254.02/x
  3. Step 3: Cross multiply
    6,539.09x = 9,805.41 × 3,254.02
  4. Step 4: Simplify right side
    6,539.09x = 31,906,975.73
  5. Step 5: Solve for x
    x = 31,906,975.73/6,539.09
  6. Step 6: Final answer
    x = 4,879.43

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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.