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Finding the Fourth Proportional to 5,963.74, 8,947.23 and 4,243.30

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Solution

The fourth proportional to 5,963.74, 8,947.23 and 4,243.30 is: 6,366.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.74 : 8,947.23 = 4,243.30 : x
  2. Step 2: Convert to fraction form
    5,963.74/8,947.23 = 4,243.30/x
  3. Step 3: Cross multiply
    5,963.74x = 8,947.23 × 4,243.30
  4. Step 4: Simplify right side
    5,963.74x = 37,965,781.06
  5. Step 5: Solve for x
    x = 37,965,781.06/5,963.74
  6. Step 6: Final answer
    x = 6,366.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.