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Finding the Fourth Proportional to 9,446.82, 14,157.45 and 3,600.24

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Solution

The fourth proportional to 9,446.82, 14,157.45 and 3,600.24 is: 5,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.82 : 14,157.45 = 3,600.24 : x
  2. Step 2: Convert to fraction form
    9,446.82/14,157.45 = 3,600.24/x
  3. Step 3: Cross multiply
    9,446.82x = 14,157.45 × 3,600.24
  4. Step 4: Simplify right side
    9,446.82x = 50,970,217.79
  5. Step 5: Solve for x
    x = 50,970,217.79/9,446.82
  6. Step 6: Final answer
    x = 5,395.49

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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.