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Finding the Fourth Proportional to 6,913.54, 9,553.44 and 5,231.98

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Solution

The fourth proportional to 6,913.54, 9,553.44 and 5,231.98 is: 7,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.54 : 9,553.44 = 5,231.98 : x
  2. Step 2: Convert to fraction form
    6,913.54/9,553.44 = 5,231.98/x
  3. Step 3: Cross multiply
    6,913.54x = 9,553.44 × 5,231.98
  4. Step 4: Simplify right side
    6,913.54x = 49,983,407.01
  5. Step 5: Solve for x
    x = 49,983,407.01/6,913.54
  6. Step 6: Final answer
    x = 7,229.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.