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Finding the Fourth Proportional to 9,993.28, 13,792 and 6,012.48

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Solution

The fourth proportional to 9,993.28, 13,792 and 6,012.48 is: 8,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.28 : 13,792 = 6,012.48 : x
  2. Step 2: Convert to fraction form
    9,993.28/13,792 = 6,012.48/x
  3. Step 3: Cross multiply
    9,993.28x = 13,792 × 6,012.48
  4. Step 4: Simplify right side
    9,993.28x = 82,924,124.16
  5. Step 5: Solve for x
    x = 82,924,124.16/9,993.28
  6. Step 6: Final answer
    x = 8,297.99

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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.