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Finding the Fourth Proportional to 6,601.44, 9,902.16 and 4,005.12

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Solution

The fourth proportional to 6,601.44, 9,902.16 and 4,005.12 is: 6,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.44 : 9,902.16 = 4,005.12 : x
  2. Step 2: Convert to fraction form
    6,601.44/9,902.16 = 4,005.12/x
  3. Step 3: Cross multiply
    6,601.44x = 9,902.16 × 4,005.12
  4. Step 4: Simplify right side
    6,601.44x = 39,659,339.06
  5. Step 5: Solve for x
    x = 39,659,339.06/6,601.44
  6. Step 6: Final answer
    x = 6,007.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.