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Finding the Fourth Proportional to 9,863.78, 14,791.08 and 3,624.08

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Solution

The fourth proportional to 9,863.78, 14,791.08 and 3,624.08 is: 5,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.78 : 14,791.08 = 3,624.08 : x
  2. Step 2: Convert to fraction form
    9,863.78/14,791.08 = 3,624.08/x
  3. Step 3: Cross multiply
    9,863.78x = 14,791.08 × 3,624.08
  4. Step 4: Simplify right side
    9,863.78x = 53,604,057.21
  5. Step 5: Solve for x
    x = 53,604,057.21/9,863.78
  6. Step 6: Final answer
    x = 5,434.43

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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.