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Finding the Fourth Proportional to 9,474, 14,215.32 and 3,630.12

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Solution

The fourth proportional to 9,474, 14,215.32 and 3,630.12 is: 5,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474 : 14,215.32 = 3,630.12 : x
  2. Step 2: Convert to fraction form
    9,474/14,215.32 = 3,630.12/x
  3. Step 3: Cross multiply
    9,474x = 14,215.32 × 3,630.12
  4. Step 4: Simplify right side
    9,474x = 51,603,317.44
  5. Step 5: Solve for x
    x = 51,603,317.44/9,474
  6. Step 6: Final answer
    x = 5,446.84

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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.