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Finding the Fourth Proportional to 9,344.72, 14,021.16 and 4,961.12

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Solution

The fourth proportional to 9,344.72, 14,021.16 and 4,961.12 is: 7,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.72 : 14,021.16 = 4,961.12 : x
  2. Step 2: Convert to fraction form
    9,344.72/14,021.16 = 4,961.12/x
  3. Step 3: Cross multiply
    9,344.72x = 14,021.16 × 4,961.12
  4. Step 4: Simplify right side
    9,344.72x = 69,560,657.30
  5. Step 5: Solve for x
    x = 69,560,657.30/9,344.72
  6. Step 6: Final answer
    x = 7,443.85

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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.