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Finding the Fourth Proportional to 6,813.69, 9,402.89 and 3,983.01

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Solution

The fourth proportional to 6,813.69, 9,402.89 and 3,983.01 is: 5,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.69 : 9,402.89 = 3,983.01 : x
  2. Step 2: Convert to fraction form
    6,813.69/9,402.89 = 3,983.01/x
  3. Step 3: Cross multiply
    6,813.69x = 9,402.89 × 3,983.01
  4. Step 4: Simplify right side
    6,813.69x = 37,451,784.98
  5. Step 5: Solve for x
    x = 37,451,784.98/6,813.69
  6. Step 6: Final answer
    x = 5,496.55

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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.