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Finding the Fourth Proportional to 6,663.20, 9,194.81 and 3,678.96

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Solution

The fourth proportional to 6,663.20, 9,194.81 and 3,678.96 is: 5,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.20 : 9,194.81 = 3,678.96 : x
  2. Step 2: Convert to fraction form
    6,663.20/9,194.81 = 3,678.96/x
  3. Step 3: Cross multiply
    6,663.20x = 9,194.81 × 3,678.96
  4. Step 4: Simplify right side
    6,663.20x = 33,827,319.80
  5. Step 5: Solve for x
    x = 33,827,319.80/6,663.20
  6. Step 6: Final answer
    x = 5,076.74

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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.