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Finding the Fourth Proportional to 9,439, 14,165 and 3,283

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Solution

The fourth proportional to 9,439, 14,165 and 3,283 is: 4,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439 : 14,165 = 3,283 : x
  2. Step 2: Convert to fraction form
    9,439/14,165 = 3,283/x
  3. Step 3: Cross multiply
    9,439x = 14,165 × 3,283
  4. Step 4: Simplify right side
    9,439x = 46,503,695
  5. Step 5: Solve for x
    x = 46,503,695/9,439
  6. Step 6: Final answer
    x = 4,926.76

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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.