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Finding the Fourth Proportional to 9,930.20, 13,704 and 5,738.45

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Solution

The fourth proportional to 9,930.20, 13,704 and 5,738.45 is: 7,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.20 : 13,704 = 5,738.45 : x
  2. Step 2: Convert to fraction form
    9,930.20/13,704 = 5,738.45/x
  3. Step 3: Cross multiply
    9,930.20x = 13,704 × 5,738.45
  4. Step 4: Simplify right side
    9,930.20x = 78,639,718.80
  5. Step 5: Solve for x
    x = 78,639,718.80/9,930.20
  6. Step 6: Final answer
    x = 7,919.25

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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.