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Finding the Fourth Proportional to 6,381.27, 9,570.54 and 1,998.16

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Solution

The fourth proportional to 6,381.27, 9,570.54 and 1,998.16 is: 2,996.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.27 : 9,570.54 = 1,998.16 : x
  2. Step 2: Convert to fraction form
    6,381.27/9,570.54 = 1,998.16/x
  3. Step 3: Cross multiply
    6,381.27x = 9,570.54 × 1,998.16
  4. Step 4: Simplify right side
    6,381.27x = 19,123,470.21
  5. Step 5: Solve for x
    x = 19,123,470.21/6,381.27
  6. Step 6: Final answer
    x = 2,996.81

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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.