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Finding the Fourth Proportional to 6,366.33, 9,548.96 and 1,983.38

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Solution

The fourth proportional to 6,366.33, 9,548.96 and 1,983.38 is: 2,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.33 : 9,548.96 = 1,983.38 : x
  2. Step 2: Convert to fraction form
    6,366.33/9,548.96 = 1,983.38/x
  3. Step 3: Cross multiply
    6,366.33x = 9,548.96 × 1,983.38
  4. Step 4: Simplify right side
    6,366.33x = 18,939,158.62
  5. Step 5: Solve for x
    x = 18,939,158.62/6,366.33
  6. Step 6: Final answer
    x = 2,974.89

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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.