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Finding the Fourth Proportional to 9,361.64, 14,042.37 and 3,813.68

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Solution

The fourth proportional to 9,361.64, 14,042.37 and 3,813.68 is: 5,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.64 : 14,042.37 = 3,813.68 : x
  2. Step 2: Convert to fraction form
    9,361.64/14,042.37 = 3,813.68/x
  3. Step 3: Cross multiply
    9,361.64x = 14,042.37 × 3,813.68
  4. Step 4: Simplify right side
    9,361.64x = 53,553,105.62
  5. Step 5: Solve for x
    x = 53,553,105.62/9,361.64
  6. Step 6: Final answer
    x = 5,720.48

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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.