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Finding the Fourth Proportional to 6,391.07, 9,586.88 and 2,231.49

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Solution

The fourth proportional to 6,391.07, 9,586.88 and 2,231.49 is: 3,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.07 : 9,586.88 = 2,231.49 : x
  2. Step 2: Convert to fraction form
    6,391.07/9,586.88 = 2,231.49/x
  3. Step 3: Cross multiply
    6,391.07x = 9,586.88 × 2,231.49
  4. Step 4: Simplify right side
    6,391.07x = 21,393,015.69
  5. Step 5: Solve for x
    x = 21,393,015.69/6,391.07
  6. Step 6: Final answer
    x = 3,347.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.