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Finding the Fourth Proportional to 9,936, 13,711.17 and 5,956.35

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Solution

The fourth proportional to 9,936, 13,711.17 and 5,956.35 is: 8,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936 : 13,711.17 = 5,956.35 : x
  2. Step 2: Convert to fraction form
    9,936/13,711.17 = 5,956.35/x
  3. Step 3: Cross multiply
    9,936x = 13,711.17 × 5,956.35
  4. Step 4: Simplify right side
    9,936x = 81,668,527.43
  5. Step 5: Solve for x
    x = 81,668,527.43/9,936
  6. Step 6: Final answer
    x = 8,219.46

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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.