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Finding the Fourth Proportional to 6,213.65, 9,321.39 and 3,871.74

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Solution

The fourth proportional to 6,213.65, 9,321.39 and 3,871.74 is: 5,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.65 : 9,321.39 = 3,871.74 : x
  2. Step 2: Convert to fraction form
    6,213.65/9,321.39 = 3,871.74/x
  3. Step 3: Cross multiply
    6,213.65x = 9,321.39 × 3,871.74
  4. Step 4: Simplify right side
    6,213.65x = 36,089,998.52
  5. Step 5: Solve for x
    x = 36,089,998.52/6,213.65
  6. Step 6: Final answer
    x = 5,808.18

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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.