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Finding the Fourth Proportional to 6,667.92, 9,999.32 and 2,284.56

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Solution

The fourth proportional to 6,667.92, 9,999.32 and 2,284.56 is: 3,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.92 : 9,999.32 = 2,284.56 : x
  2. Step 2: Convert to fraction form
    6,667.92/9,999.32 = 2,284.56/x
  3. Step 3: Cross multiply
    6,667.92x = 9,999.32 × 2,284.56
  4. Step 4: Simplify right side
    6,667.92x = 22,844,046.50
  5. Step 5: Solve for x
    x = 22,844,046.50/6,667.92
  6. Step 6: Final answer
    x = 3,425.96

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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.