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Finding the Fourth Proportional to 6,628.56, 9,147.63 and 3,644.61

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Solution

The fourth proportional to 6,628.56, 9,147.63 and 3,644.61 is: 5,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.56 : 9,147.63 = 3,644.61 : x
  2. Step 2: Convert to fraction form
    6,628.56/9,147.63 = 3,644.61/x
  3. Step 3: Cross multiply
    6,628.56x = 9,147.63 × 3,644.61
  4. Step 4: Simplify right side
    6,628.56x = 33,339,543.77
  5. Step 5: Solve for x
    x = 33,339,543.77/6,628.56
  6. Step 6: Final answer
    x = 5,029.68

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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.