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Finding the Fourth Proportional to 6,287.35, 9,431.49 and 2,127.80

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Solution

The fourth proportional to 6,287.35, 9,431.49 and 2,127.80 is: 3,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.35 : 9,431.49 = 2,127.80 : x
  2. Step 2: Convert to fraction form
    6,287.35/9,431.49 = 2,127.80/x
  3. Step 3: Cross multiply
    6,287.35x = 9,431.49 × 2,127.80
  4. Step 4: Simplify right side
    6,287.35x = 20,068,324.42
  5. Step 5: Solve for x
    x = 20,068,324.42/6,287.35
  6. Step 6: Final answer
    x = 3,191.86

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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.