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Finding the Fourth Proportional to 6,629.04, 9,147.74 and 3,644.80

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Solution

The fourth proportional to 6,629.04, 9,147.74 and 3,644.80 is: 5,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.04 : 9,147.74 = 3,644.80 : x
  2. Step 2: Convert to fraction form
    6,629.04/9,147.74 = 3,644.80/x
  3. Step 3: Cross multiply
    6,629.04x = 9,147.74 × 3,644.80
  4. Step 4: Simplify right side
    6,629.04x = 33,341,641.66
  5. Step 5: Solve for x
    x = 33,341,641.66/6,629.04
  6. Step 6: Final answer
    x = 5,029.63

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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.