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Finding the Fourth Proportional to 6,654.42, 9,182.09 and 3,821.92

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Solution

The fourth proportional to 6,654.42, 9,182.09 and 3,821.92 is: 5,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.42 : 9,182.09 = 3,821.92 : x
  2. Step 2: Convert to fraction form
    6,654.42/9,182.09 = 3,821.92/x
  3. Step 3: Cross multiply
    6,654.42x = 9,182.09 × 3,821.92
  4. Step 4: Simplify right side
    6,654.42x = 35,093,200.01
  5. Step 5: Solve for x
    x = 35,093,200.01/6,654.42
  6. Step 6: Final answer
    x = 5,273.67

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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.