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Finding the Fourth Proportional to 9,522.27, 14,274.11 and 3,977.19

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Solution

The fourth proportional to 9,522.27, 14,274.11 and 3,977.19 is: 5,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.27 : 14,274.11 = 3,977.19 : x
  2. Step 2: Convert to fraction form
    9,522.27/14,274.11 = 3,977.19/x
  3. Step 3: Cross multiply
    9,522.27x = 14,274.11 × 3,977.19
  4. Step 4: Simplify right side
    9,522.27x = 56,770,857.49
  5. Step 5: Solve for x
    x = 56,770,857.49/9,522.27
  6. Step 6: Final answer
    x = 5,961.90

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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.