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Finding the Fourth Proportional to 29,204, 43,796.72 and 9,478

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Solution

The fourth proportional to 29,204, 43,796.72 and 9,478 is: 14,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204 : 43,796.72 = 9,478 : x
  2. Step 2: Convert to fraction form
    29,204/43,796.72 = 9,478/x
  3. Step 3: Cross multiply
    29,204x = 43,796.72 × 9,478
  4. Step 4: Simplify right side
    29,204x = 415,105,312.16
  5. Step 5: Solve for x
    x = 415,105,312.16/29,204
  6. Step 6: Final answer
    x = 14,213.99

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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.