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Finding the Fourth Proportional to 9,168.27, 13,744.31 and 3,971.31

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Solution

The fourth proportional to 9,168.27, 13,744.31 and 3,971.31 is: 5,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.27 : 13,744.31 = 3,971.31 : x
  2. Step 2: Convert to fraction form
    9,168.27/13,744.31 = 3,971.31/x
  3. Step 3: Cross multiply
    9,168.27x = 13,744.31 × 3,971.31
  4. Step 4: Simplify right side
    9,168.27x = 54,582,895.89
  5. Step 5: Solve for x
    x = 54,582,895.89/9,168.27
  6. Step 6: Final answer
    x = 5,953.46

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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.