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Finding the Fourth Proportional to 6,642.99, 9,167.31 and 3,658.82

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Solution

The fourth proportional to 6,642.99, 9,167.31 and 3,658.82 is: 5,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.99 : 9,167.31 = 3,658.82 : x
  2. Step 2: Convert to fraction form
    6,642.99/9,167.31 = 3,658.82/x
  3. Step 3: Cross multiply
    6,642.99x = 9,167.31 × 3,658.82
  4. Step 4: Simplify right side
    6,642.99x = 33,541,491.34
  5. Step 5: Solve for x
    x = 33,541,491.34/6,642.99
  6. Step 6: Final answer
    x = 5,049.16

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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.