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Finding the Fourth Proportional to 6,628.68, 9,147.60 and 3,644.64

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Solution

The fourth proportional to 6,628.68, 9,147.60 and 3,644.64 is: 5,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.68 : 9,147.60 = 3,644.64 : x
  2. Step 2: Convert to fraction form
    6,628.68/9,147.60 = 3,644.64/x
  3. Step 3: Cross multiply
    6,628.68x = 9,147.60 × 3,644.64
  4. Step 4: Simplify right side
    6,628.68x = 33,339,708.86
  5. Step 5: Solve for x
    x = 33,339,708.86/6,628.68
  6. Step 6: Final answer
    x = 5,029.62

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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.