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Finding the Fourth Proportional to 9,399.71, 14,099.09 and 3,851.66

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Solution

The fourth proportional to 9,399.71, 14,099.09 and 3,851.66 is: 5,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.71 : 14,099.09 = 3,851.66 : x
  2. Step 2: Convert to fraction form
    9,399.71/14,099.09 = 3,851.66/x
  3. Step 3: Cross multiply
    9,399.71x = 14,099.09 × 3,851.66
  4. Step 4: Simplify right side
    9,399.71x = 54,304,811.24
  5. Step 5: Solve for x
    x = 54,304,811.24/9,399.71
  6. Step 6: Final answer
    x = 5,777.29

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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.