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Finding the Fourth Proportional to 9,384, 14,076 and 3,228

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Solution

The fourth proportional to 9,384, 14,076 and 3,228 is: 4,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 14,076 = 3,228 : x
  2. Step 2: Convert to fraction form
    9,384/14,076 = 3,228/x
  3. Step 3: Cross multiply
    9,384x = 14,076 × 3,228
  4. Step 4: Simplify right side
    9,384x = 45,437,328
  5. Step 5: Solve for x
    x = 45,437,328/9,384
  6. Step 6: Final answer
    x = 4,842

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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.