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Finding the Fourth Proportional to 6,663.82, 9,196.03 and 3,679.63

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Solution

The fourth proportional to 6,663.82, 9,196.03 and 3,679.63 is: 5,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.82 : 9,196.03 = 3,679.63 : x
  2. Step 2: Convert to fraction form
    6,663.82/9,196.03 = 3,679.63/x
  3. Step 3: Cross multiply
    6,663.82x = 9,196.03 × 3,679.63
  4. Step 4: Simplify right side
    6,663.82x = 33,837,969.48
  5. Step 5: Solve for x
    x = 33,837,969.48/6,663.82
  6. Step 6: Final answer
    x = 5,077.86

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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.