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Finding the Fourth Proportional to 6,647.82, 9,174.33 and 3,663.78

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Solution

The fourth proportional to 6,647.82, 9,174.33 and 3,663.78 is: 5,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.82 : 9,174.33 = 3,663.78 : x
  2. Step 2: Convert to fraction form
    6,647.82/9,174.33 = 3,663.78/x
  3. Step 3: Cross multiply
    6,647.82x = 9,174.33 × 3,663.78
  4. Step 4: Simplify right side
    6,647.82x = 33,612,726.77
  5. Step 5: Solve for x
    x = 33,612,726.77/6,647.82
  6. Step 6: Final answer
    x = 5,056.20

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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.