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Finding the Fourth Proportional to 9,727, 13,423.26 and 5,311

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Solution

The fourth proportional to 9,727, 13,423.26 and 5,311 is: 7,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727 : 13,423.26 = 5,311 : x
  2. Step 2: Convert to fraction form
    9,727/13,423.26 = 5,311/x
  3. Step 3: Cross multiply
    9,727x = 13,423.26 × 5,311
  4. Step 4: Simplify right side
    9,727x = 71,290,933.86
  5. Step 5: Solve for x
    x = 71,290,933.86/9,727
  6. Step 6: Final answer
    x = 7,329.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.