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Finding the Fourth Proportional to 6,981.84, 9,633.87 and 3,997.08

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Solution

The fourth proportional to 6,981.84, 9,633.87 and 3,997.08 is: 5,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.84 : 9,633.87 = 3,997.08 : x
  2. Step 2: Convert to fraction form
    6,981.84/9,633.87 = 3,997.08/x
  3. Step 3: Cross multiply
    6,981.84x = 9,633.87 × 3,997.08
  4. Step 4: Simplify right side
    6,981.84x = 38,507,349.10
  5. Step 5: Solve for x
    x = 38,507,349.10/6,981.84
  6. Step 6: Final answer
    x = 5,515.36

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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.