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Finding the Fourth Proportional to 9,793.36, 14,695.87 and 3,553.86

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Solution

The fourth proportional to 9,793.36, 14,695.87 and 3,553.86 is: 5,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.36 : 14,695.87 = 3,553.86 : x
  2. Step 2: Convert to fraction form
    9,793.36/14,695.87 = 3,553.86/x
  3. Step 3: Cross multiply
    9,793.36x = 14,695.87 × 3,553.86
  4. Step 4: Simplify right side
    9,793.36x = 52,226,991.08
  5. Step 5: Solve for x
    x = 52,226,991.08/9,793.36
  6. Step 6: Final answer
    x = 5,332.90

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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.