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Finding the Fourth Proportional to 9,328, 13,993.92 and 3,856

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Solution

The fourth proportional to 9,328, 13,993.92 and 3,856 is: 5,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328 : 13,993.92 = 3,856 : x
  2. Step 2: Convert to fraction form
    9,328/13,993.92 = 3,856/x
  3. Step 3: Cross multiply
    9,328x = 13,993.92 × 3,856
  4. Step 4: Simplify right side
    9,328x = 53,960,555.52
  5. Step 5: Solve for x
    x = 53,960,555.52/9,328
  6. Step 6: Final answer
    x = 5,784.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.