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Finding the Fourth Proportional to 6,961.49, 9,604.73 and 3,977.15

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Solution

The fourth proportional to 6,961.49, 9,604.73 and 3,977.15 is: 5,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.49 : 9,604.73 = 3,977.15 : x
  2. Step 2: Convert to fraction form
    6,961.49/9,604.73 = 3,977.15/x
  3. Step 3: Cross multiply
    6,961.49x = 9,604.73 × 3,977.15
  4. Step 4: Simplify right side
    6,961.49x = 38,199,445.49
  5. Step 5: Solve for x
    x = 38,199,445.49/6,961.49
  6. Step 6: Final answer
    x = 5,487.25

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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.