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Finding the Fourth Proportional to 6,961.37, 9,606.06 and 3,977.19

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Solution

The fourth proportional to 6,961.37, 9,606.06 and 3,977.19 is: 5,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.37 : 9,606.06 = 3,977.19 : x
  2. Step 2: Convert to fraction form
    6,961.37/9,606.06 = 3,977.19/x
  3. Step 3: Cross multiply
    6,961.37x = 9,606.06 × 3,977.19
  4. Step 4: Simplify right side
    6,961.37x = 38,205,125.77
  5. Step 5: Solve for x
    x = 38,205,125.77/6,961.37
  6. Step 6: Final answer
    x = 5,488.17

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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.