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Finding the Fourth Proportional to 6,983.40, 9,637.07 and 3,796.69

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Solution

The fourth proportional to 6,983.40, 9,637.07 and 3,796.69 is: 5,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.40 : 9,637.07 = 3,796.69 : x
  2. Step 2: Convert to fraction form
    6,983.40/9,637.07 = 3,796.69/x
  3. Step 3: Cross multiply
    6,983.40x = 9,637.07 × 3,796.69
  4. Step 4: Simplify right side
    6,983.40x = 36,588,942.29
  5. Step 5: Solve for x
    x = 36,588,942.29/6,983.40
  6. Step 6: Final answer
    x = 5,239.42

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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.