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Finding the Fourth Proportional to 6,540.09, 9,809.91 and 2,842.32

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Solution

The fourth proportional to 6,540.09, 9,809.91 and 2,842.32 is: 4,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.09 : 9,809.91 = 2,842.32 : x
  2. Step 2: Convert to fraction form
    6,540.09/9,809.91 = 2,842.32/x
  3. Step 3: Cross multiply
    6,540.09x = 9,809.91 × 2,842.32
  4. Step 4: Simplify right side
    6,540.09x = 27,882,885.97
  5. Step 5: Solve for x
    x = 27,882,885.97/6,540.09
  6. Step 6: Final answer
    x = 4,263.38

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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.