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Finding the Fourth Proportional to 9,553.50, 14,309.34 and 6,771.75

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Solution

The fourth proportional to 9,553.50, 14,309.34 and 6,771.75 is: 10,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.50 : 14,309.34 = 6,771.75 : x
  2. Step 2: Convert to fraction form
    9,553.50/14,309.34 = 6,771.75/x
  3. Step 3: Cross multiply
    9,553.50x = 14,309.34 × 6,771.75
  4. Step 4: Simplify right side
    9,553.50x = 96,899,273.15
  5. Step 5: Solve for x
    x = 96,899,273.15/9,553.50
  6. Step 6: Final answer
    x = 10,142.80

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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.