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Finding the Fourth Proportional to 6,661.06, 9,193.86 and 4,007.97

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Solution

The fourth proportional to 6,661.06, 9,193.86 and 4,007.97 is: 5,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.06 : 9,193.86 = 4,007.97 : x
  2. Step 2: Convert to fraction form
    6,661.06/9,193.86 = 4,007.97/x
  3. Step 3: Cross multiply
    6,661.06x = 9,193.86 × 4,007.97
  4. Step 4: Simplify right side
    6,661.06x = 36,848,715.06
  5. Step 5: Solve for x
    x = 36,848,715.06/6,661.06
  6. Step 6: Final answer
    x = 5,531.96

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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.