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Finding the Fourth Proportional to 6,643.02, 9,167.49 and 3,658.84

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Solution

The fourth proportional to 6,643.02, 9,167.49 and 3,658.84 is: 5,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.02 : 9,167.49 = 3,658.84 : x
  2. Step 2: Convert to fraction form
    6,643.02/9,167.49 = 3,658.84/x
  3. Step 3: Cross multiply
    6,643.02x = 9,167.49 × 3,658.84
  4. Step 4: Simplify right side
    6,643.02x = 33,542,356.19
  5. Step 5: Solve for x
    x = 33,542,356.19/6,643.02
  6. Step 6: Final answer
    x = 5,049.26

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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.