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Finding the Fourth Proportional to 9,441, 14,168 and 3,285

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Solution

The fourth proportional to 9,441, 14,168 and 3,285 is: 4,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 14,168 = 3,285 : x
  2. Step 2: Convert to fraction form
    9,441/14,168 = 3,285/x
  3. Step 3: Cross multiply
    9,441x = 14,168 × 3,285
  4. Step 4: Simplify right side
    9,441x = 46,541,880
  5. Step 5: Solve for x
    x = 46,541,880/9,441
  6. Step 6: Final answer
    x = 4,929.76

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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.