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Finding the Fourth Proportional to 6,642.06, 9,166.40 and 3,991.74

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Solution

The fourth proportional to 6,642.06, 9,166.40 and 3,991.74 is: 5,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.06 : 9,166.40 = 3,991.74 : x
  2. Step 2: Convert to fraction form
    6,642.06/9,166.40 = 3,991.74/x
  3. Step 3: Cross multiply
    6,642.06x = 9,166.40 × 3,991.74
  4. Step 4: Simplify right side
    6,642.06x = 36,589,885.54
  5. Step 5: Solve for x
    x = 36,589,885.54/6,642.06
  6. Step 6: Final answer
    x = 5,508.82

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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.