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Finding the Fourth Proportional to 6,961.62, 9,606.40 and 3,977.44

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Solution

The fourth proportional to 6,961.62, 9,606.40 and 3,977.44 is: 5,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.62 : 9,606.40 = 3,977.44 : x
  2. Step 2: Convert to fraction form
    6,961.62/9,606.40 = 3,977.44/x
  3. Step 3: Cross multiply
    6,961.62x = 9,606.40 × 3,977.44
  4. Step 4: Simplify right side
    6,961.62x = 38,208,879.62
  5. Step 5: Solve for x
    x = 38,208,879.62/6,961.62
  6. Step 6: Final answer
    x = 5,488.50

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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.