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Finding the Fourth Proportional to 6,961.34, 9,607.44 and 3,977.60

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Solution

The fourth proportional to 6,961.34, 9,607.44 and 3,977.60 is: 5,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.34 : 9,607.44 = 3,977.60 : x
  2. Step 2: Convert to fraction form
    6,961.34/9,607.44 = 3,977.60/x
  3. Step 3: Cross multiply
    6,961.34x = 9,607.44 × 3,977.60
  4. Step 4: Simplify right side
    6,961.34x = 38,214,553.34
  5. Step 5: Solve for x
    x = 38,214,553.34/6,961.34
  6. Step 6: Final answer
    x = 5,489.54

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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.