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Finding the Fourth Proportional to 6,629.97, 9,149.34 and 3,645.84

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Solution

The fourth proportional to 6,629.97, 9,149.34 and 3,645.84 is: 5,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.97 : 9,149.34 = 3,645.84 : x
  2. Step 2: Convert to fraction form
    6,629.97/9,149.34 = 3,645.84/x
  3. Step 3: Cross multiply
    6,629.97x = 9,149.34 × 3,645.84
  4. Step 4: Simplify right side
    6,629.97x = 33,357,029.75
  5. Step 5: Solve for x
    x = 33,357,029.75/6,629.97
  6. Step 6: Final answer
    x = 5,031.25

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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.