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Finding the Fourth Proportional to 9,397.81, 14,096.31 and 3,849.31

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Solution

The fourth proportional to 9,397.81, 14,096.31 and 3,849.31 is: 5,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.81 : 14,096.31 = 3,849.31 : x
  2. Step 2: Convert to fraction form
    9,397.81/14,096.31 = 3,849.31/x
  3. Step 3: Cross multiply
    9,397.81x = 14,096.31 × 3,849.31
  4. Step 4: Simplify right side
    9,397.81x = 54,261,067.05
  5. Step 5: Solve for x
    x = 54,261,067.05/9,397.81
  6. Step 6: Final answer
    x = 5,773.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.