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Finding the Fourth Proportional to 6,006.14, 8,997.96 and 3,533.57

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Solution

The fourth proportional to 6,006.14, 8,997.96 and 3,533.57 is: 5,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.14 : 8,997.96 = 3,533.57 : x
  2. Step 2: Convert to fraction form
    6,006.14/8,997.96 = 3,533.57/x
  3. Step 3: Cross multiply
    6,006.14x = 8,997.96 × 3,533.57
  4. Step 4: Simplify right side
    6,006.14x = 31,794,921.52
  5. Step 5: Solve for x
    x = 31,794,921.52/6,006.14
  6. Step 6: Final answer
    x = 5,293.74

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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.