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Finding the Fourth Proportional to 9,442, 14,163.12 and 3,286

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Solution

The fourth proportional to 9,442, 14,163.12 and 3,286 is: 4,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442 : 14,163.12 = 3,286 : x
  2. Step 2: Convert to fraction form
    9,442/14,163.12 = 3,286/x
  3. Step 3: Cross multiply
    9,442x = 14,163.12 × 3,286
  4. Step 4: Simplify right side
    9,442x = 46,540,012.32
  5. Step 5: Solve for x
    x = 46,540,012.32/9,442
  6. Step 6: Final answer
    x = 4,929.04

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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.