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Finding the Fourth Proportional to 9,474, 14,213.72 and 3,235.44

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Solution

The fourth proportional to 9,474, 14,213.72 and 3,235.44 is: 4,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474 : 14,213.72 = 3,235.44 : x
  2. Step 2: Convert to fraction form
    9,474/14,213.72 = 3,235.44/x
  3. Step 3: Cross multiply
    9,474x = 14,213.72 × 3,235.44
  4. Step 4: Simplify right side
    9,474x = 45,987,638.24
  5. Step 5: Solve for x
    x = 45,987,638.24/9,474
  6. Step 6: Final answer
    x = 4,854.09

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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.