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Finding the Fourth Proportional to 6,983.66, 9,637.64 and 3,839.84

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Solution

The fourth proportional to 6,983.66, 9,637.64 and 3,839.84 is: 5,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.66 : 9,637.64 = 3,839.84 : x
  2. Step 2: Convert to fraction form
    6,983.66/9,637.64 = 3,839.84/x
  3. Step 3: Cross multiply
    6,983.66x = 9,637.64 × 3,839.84
  4. Step 4: Simplify right side
    6,983.66x = 37,006,995.58
  5. Step 5: Solve for x
    x = 37,006,995.58/6,983.66
  6. Step 6: Final answer
    x = 5,299.08

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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.