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Finding the Fourth Proportional to 6,961.92, 9,607.36 and 3,977.72

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Solution

The fourth proportional to 6,961.92, 9,607.36 and 3,977.72 is: 5,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.92 : 9,607.36 = 3,977.72 : x
  2. Step 2: Convert to fraction form
    6,961.92/9,607.36 = 3,977.72/x
  3. Step 3: Cross multiply
    6,961.92x = 9,607.36 × 3,977.72
  4. Step 4: Simplify right side
    6,961.92x = 38,215,388.02
  5. Step 5: Solve for x
    x = 38,215,388.02/6,961.92
  6. Step 6: Final answer
    x = 5,489.20

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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.