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Finding the Fourth Proportional to 9,791.56, 14,695.14 and 3,553.37

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Solution

The fourth proportional to 9,791.56, 14,695.14 and 3,553.37 is: 5,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.56 : 14,695.14 = 3,553.37 : x
  2. Step 2: Convert to fraction form
    9,791.56/14,695.14 = 3,553.37/x
  3. Step 3: Cross multiply
    9,791.56x = 14,695.14 × 3,553.37
  4. Step 4: Simplify right side
    9,791.56x = 52,217,269.62
  5. Step 5: Solve for x
    x = 52,217,269.62/9,791.56
  6. Step 6: Final answer
    x = 5,332.89

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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.