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Finding the Fourth Proportional to 6,663.84, 9,196.11 and 3,679.80

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Solution

The fourth proportional to 6,663.84, 9,196.11 and 3,679.80 is: 5,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.84 : 9,196.11 = 3,679.80 : x
  2. Step 2: Convert to fraction form
    6,663.84/9,196.11 = 3,679.80/x
  3. Step 3: Cross multiply
    6,663.84x = 9,196.11 × 3,679.80
  4. Step 4: Simplify right side
    6,663.84x = 33,839,845.58
  5. Step 5: Solve for x
    x = 33,839,845.58/6,663.84
  6. Step 6: Final answer
    x = 5,078.13

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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.