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Finding the Fourth Proportional to 6,961.08, 9,606.96 and 3,977.13

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Solution

The fourth proportional to 6,961.08, 9,606.96 and 3,977.13 is: 5,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.08 : 9,606.96 = 3,977.13 : x
  2. Step 2: Convert to fraction form
    6,961.08/9,606.96 = 3,977.13/x
  3. Step 3: Cross multiply
    6,961.08x = 9,606.96 × 3,977.13
  4. Step 4: Simplify right side
    6,961.08x = 38,208,128.82
  5. Step 5: Solve for x
    x = 38,208,128.82/6,961.08
  6. Step 6: Final answer
    x = 5,488.82

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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.