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Finding the Fourth Proportional to 6,628.35, 9,147.23 and 3,644.53

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Solution

The fourth proportional to 6,628.35, 9,147.23 and 3,644.53 is: 5,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.35 : 9,147.23 = 3,644.53 : x
  2. Step 2: Convert to fraction form
    6,628.35/9,147.23 = 3,644.53/x
  3. Step 3: Cross multiply
    6,628.35x = 9,147.23 × 3,644.53
  4. Step 4: Simplify right side
    6,628.35x = 33,337,354.15
  5. Step 5: Solve for x
    x = 33,337,354.15/6,628.35
  6. Step 6: Final answer
    x = 5,029.51

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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.