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Finding the Fourth Proportional to 6,601.86, 9,905.07 and 4,133.75

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Solution

The fourth proportional to 6,601.86, 9,905.07 and 4,133.75 is: 6,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.86 : 9,905.07 = 4,133.75 : x
  2. Step 2: Convert to fraction form
    6,601.86/9,905.07 = 4,133.75/x
  3. Step 3: Cross multiply
    6,601.86x = 9,905.07 × 4,133.75
  4. Step 4: Simplify right side
    6,601.86x = 40,945,049.09
  5. Step 5: Solve for x
    x = 40,945,049.09/6,601.86
  6. Step 6: Final answer
    x = 6,202.04

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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.