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Finding the Fourth Proportional to 6,486.27, 9,729.99 and 2,270.22

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Solution

The fourth proportional to 6,486.27, 9,729.99 and 2,270.22 is: 3,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.27 : 9,729.99 = 2,270.22 : x
  2. Step 2: Convert to fraction form
    6,486.27/9,729.99 = 2,270.22/x
  3. Step 3: Cross multiply
    6,486.27x = 9,729.99 × 2,270.22
  4. Step 4: Simplify right side
    6,486.27x = 22,089,217.90
  5. Step 5: Solve for x
    x = 22,089,217.90/6,486.27
  6. Step 6: Final answer
    x = 3,405.53

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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.