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Finding the Fourth Proportional to 6,663.25, 9,196.47 and 3,974.63

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Solution

The fourth proportional to 6,663.25, 9,196.47 and 3,974.63 is: 5,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.25 : 9,196.47 = 3,974.63 : x
  2. Step 2: Convert to fraction form
    6,663.25/9,196.47 = 3,974.63/x
  3. Step 3: Cross multiply
    6,663.25x = 9,196.47 × 3,974.63
  4. Step 4: Simplify right side
    6,663.25x = 36,552,545.68
  5. Step 5: Solve for x
    x = 36,552,545.68/6,663.25
  6. Step 6: Final answer
    x = 5,485.70

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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.