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Finding the Fourth Proportional to 7,234.97, 9,958.97 and 6,301.85

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Solution

The fourth proportional to 7,234.97, 9,958.97 and 6,301.85 is: 8,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.97 : 9,958.97 = 6,301.85 : x
  2. Step 2: Convert to fraction form
    7,234.97/9,958.97 = 6,301.85/x
  3. Step 3: Cross multiply
    7,234.97x = 9,958.97 × 6,301.85
  4. Step 4: Simplify right side
    7,234.97x = 62,759,901.05
  5. Step 5: Solve for x
    x = 62,759,901.05/7,234.97
  6. Step 6: Final answer
    x = 8,674.53

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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.