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Finding the Fourth Proportional to 6,628.65, 9,147.41 and 3,644.46

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Solution

The fourth proportional to 6,628.65, 9,147.41 and 3,644.46 is: 5,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.65 : 9,147.41 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    6,628.65/9,147.41 = 3,644.46/x
  3. Step 3: Cross multiply
    6,628.65x = 9,147.41 × 3,644.46
  4. Step 4: Simplify right side
    6,628.65x = 33,337,324.11
  5. Step 5: Solve for x
    x = 33,337,324.11/6,628.65
  6. Step 6: Final answer
    x = 5,029.28

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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.