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Finding the Fourth Proportional to 6,644.49, 9,169.29 and 3,660.32

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Solution

The fourth proportional to 6,644.49, 9,169.29 and 3,660.32 is: 5,051.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.49 : 9,169.29 = 3,660.32 : x
  2. Step 2: Convert to fraction form
    6,644.49/9,169.29 = 3,660.32/x
  3. Step 3: Cross multiply
    6,644.49x = 9,169.29 × 3,660.32
  4. Step 4: Simplify right side
    6,644.49x = 33,562,489.73
  5. Step 5: Solve for x
    x = 33,562,489.73/6,644.49
  6. Step 6: Final answer
    x = 5,051.18

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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.