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Finding the Fourth Proportional to 9,934, 13,708.43 and 5,954.34

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Solution

The fourth proportional to 9,934, 13,708.43 and 5,954.34 is: 8,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934 : 13,708.43 = 5,954.34 : x
  2. Step 2: Convert to fraction form
    9,934/13,708.43 = 5,954.34/x
  3. Step 3: Cross multiply
    9,934x = 13,708.43 × 5,954.34
  4. Step 4: Simplify right side
    9,934x = 81,624,653.09
  5. Step 5: Solve for x
    x = 81,624,653.09/9,934
  6. Step 6: Final answer
    x = 8,216.70

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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.