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Finding the Fourth Proportional to 6,493.06, 9,727.35 and 3,202.30

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Solution

The fourth proportional to 6,493.06, 9,727.35 and 3,202.30 is: 4,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.06 : 9,727.35 = 3,202.30 : x
  2. Step 2: Convert to fraction form
    6,493.06/9,727.35 = 3,202.30/x
  3. Step 3: Cross multiply
    6,493.06x = 9,727.35 × 3,202.30
  4. Step 4: Simplify right side
    6,493.06x = 31,149,892.91
  5. Step 5: Solve for x
    x = 31,149,892.91/6,493.06
  6. Step 6: Final answer
    x = 4,797.41

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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.