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Finding the Fourth Proportional to 6,666.87, 9,201.41 and 5,070.96

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Solution

The fourth proportional to 6,666.87, 9,201.41 and 5,070.96 is: 6,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.87 : 9,201.41 = 5,070.96 : x
  2. Step 2: Convert to fraction form
    6,666.87/9,201.41 = 5,070.96/x
  3. Step 3: Cross multiply
    6,666.87x = 9,201.41 × 5,070.96
  4. Step 4: Simplify right side
    6,666.87x = 46,659,982.05
  5. Step 5: Solve for x
    x = 46,659,982.05/6,666.87
  6. Step 6: Final answer
    x = 6,998.78

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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.