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Finding the Fourth Proportional to 6,809.44, 10,221.36 and 3,349.12

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Solution

The fourth proportional to 6,809.44, 10,221.36 and 3,349.12 is: 5,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.44 : 10,221.36 = 3,349.12 : x
  2. Step 2: Convert to fraction form
    6,809.44/10,221.36 = 3,349.12/x
  3. Step 3: Cross multiply
    6,809.44x = 10,221.36 × 3,349.12
  4. Step 4: Simplify right side
    6,809.44x = 34,232,561.20
  5. Step 5: Solve for x
    x = 34,232,561.20/6,809.44
  6. Step 6: Final answer
    x = 5,027.22

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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.