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Finding the Fourth Proportional to 6,628.96, 9,147.96 and 3,644.84

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Solution

The fourth proportional to 6,628.96, 9,147.96 and 3,644.84 is: 5,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.96 : 9,147.96 = 3,644.84 : x
  2. Step 2: Convert to fraction form
    6,628.96/9,147.96 = 3,644.84/x
  3. Step 3: Cross multiply
    6,628.96x = 9,147.96 × 3,644.84
  4. Step 4: Simplify right side
    6,628.96x = 33,342,850.53
  5. Step 5: Solve for x
    x = 33,342,850.53/6,628.96
  6. Step 6: Final answer
    x = 5,029.88

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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.