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Finding the Fourth Proportional to 6,642.33, 9,167.30 and 4,291.31

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Solution

The fourth proportional to 6,642.33, 9,167.30 and 4,291.31 is: 5,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.33 : 9,167.30 = 4,291.31 : x
  2. Step 2: Convert to fraction form
    6,642.33/9,167.30 = 4,291.31/x
  3. Step 3: Cross multiply
    6,642.33x = 9,167.30 × 4,291.31
  4. Step 4: Simplify right side
    6,642.33x = 39,339,726.16
  5. Step 5: Solve for x
    x = 39,339,726.16/6,642.33
  6. Step 6: Final answer
    x = 5,922.58

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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.