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Finding the Fourth Proportional to 6,629.88, 9,149.27 and 3,645.91

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Solution

The fourth proportional to 6,629.88, 9,149.27 and 3,645.91 is: 5,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.88 : 9,149.27 = 3,645.91 : x
  2. Step 2: Convert to fraction form
    6,629.88/9,149.27 = 3,645.91/x
  3. Step 3: Cross multiply
    6,629.88x = 9,149.27 × 3,645.91
  4. Step 4: Simplify right side
    6,629.88x = 33,357,351.01
  5. Step 5: Solve for x
    x = 33,357,351.01/6,629.88
  6. Step 6: Final answer
    x = 5,031.37

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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.