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Finding the Fourth Proportional to 6,947.60, 9,587.57 and 3,963.47

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Solution

The fourth proportional to 6,947.60, 9,587.57 and 3,963.47 is: 5,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.60 : 9,587.57 = 3,963.47 : x
  2. Step 2: Convert to fraction form
    6,947.60/9,587.57 = 3,963.47/x
  3. Step 3: Cross multiply
    6,947.60x = 9,587.57 × 3,963.47
  4. Step 4: Simplify right side
    6,947.60x = 38,000,079.95
  5. Step 5: Solve for x
    x = 38,000,079.95/6,947.60
  6. Step 6: Final answer
    x = 5,469.53

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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.