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Finding the Fourth Proportional to 6,666.14, 9,198.27 and 4,431.31

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Solution

The fourth proportional to 6,666.14, 9,198.27 and 4,431.31 is: 6,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.14 : 9,198.27 = 4,431.31 : x
  2. Step 2: Convert to fraction form
    6,666.14/9,198.27 = 4,431.31/x
  3. Step 3: Cross multiply
    6,666.14x = 9,198.27 × 4,431.31
  4. Step 4: Simplify right side
    6,666.14x = 40,760,362.84
  5. Step 5: Solve for x
    x = 40,760,362.84/6,666.14
  6. Step 6: Final answer
    x = 6,114.54

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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.