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Finding the Fourth Proportional to 9,467, 14,204.28 and 3,624.20

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Solution

The fourth proportional to 9,467, 14,204.28 and 3,624.20 is: 5,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467 : 14,204.28 = 3,624.20 : x
  2. Step 2: Convert to fraction form
    9,467/14,204.28 = 3,624.20/x
  3. Step 3: Cross multiply
    9,467x = 14,204.28 × 3,624.20
  4. Step 4: Simplify right side
    9,467x = 51,479,151.58
  5. Step 5: Solve for x
    x = 51,479,151.58/9,467
  6. Step 6: Final answer
    x = 5,437.75

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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.