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Finding the Fourth Proportional to 6,947.84, 9,587.97 and 3,761.15

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Solution

The fourth proportional to 6,947.84, 9,587.97 and 3,761.15 is: 5,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.84 : 9,587.97 = 3,761.15 : x
  2. Step 2: Convert to fraction form
    6,947.84/9,587.97 = 3,761.15/x
  3. Step 3: Cross multiply
    6,947.84x = 9,587.97 × 3,761.15
  4. Step 4: Simplify right side
    6,947.84x = 36,061,745.43
  5. Step 5: Solve for x
    x = 36,061,745.43/6,947.84
  6. Step 6: Final answer
    x = 5,190.35

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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.