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Finding the Fourth Proportional to 6,961.82, 9,607.83 and 3,977.59

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Solution

The fourth proportional to 6,961.82, 9,607.83 and 3,977.59 is: 5,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.82 : 9,607.83 = 3,977.59 : x
  2. Step 2: Convert to fraction form
    6,961.82/9,607.83 = 3,977.59/x
  3. Step 3: Cross multiply
    6,961.82x = 9,607.83 × 3,977.59
  4. Step 4: Simplify right side
    6,961.82x = 38,216,032.10
  5. Step 5: Solve for x
    x = 38,216,032.10/6,961.82
  6. Step 6: Final answer
    x = 5,489.37

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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.