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Finding the Fourth Proportional to 9,453.62, 14,168.09 and 3,900.62

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Solution

The fourth proportional to 9,453.62, 14,168.09 and 3,900.62 is: 5,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.62 : 14,168.09 = 3,900.62 : x
  2. Step 2: Convert to fraction form
    9,453.62/14,168.09 = 3,900.62/x
  3. Step 3: Cross multiply
    9,453.62x = 14,168.09 × 3,900.62
  4. Step 4: Simplify right side
    9,453.62x = 55,264,274.13
  5. Step 5: Solve for x
    x = 55,264,274.13/9,453.62
  6. Step 6: Final answer
    x = 5,845.84

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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.