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Finding the Fourth Proportional to 6,697.43, 9,234.66 and 5,434.54

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Solution

The fourth proportional to 6,697.43, 9,234.66 and 5,434.54 is: 7,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.43 : 9,234.66 = 5,434.54 : x
  2. Step 2: Convert to fraction form
    6,697.43/9,234.66 = 5,434.54/x
  3. Step 3: Cross multiply
    6,697.43x = 9,234.66 × 5,434.54
  4. Step 4: Simplify right side
    6,697.43x = 50,186,147.82
  5. Step 5: Solve for x
    x = 50,186,147.82/6,697.43
  6. Step 6: Final answer
    x = 7,493.34

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