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Finding the Fourth Proportional to 4,113.90, 6,173.37 and 3,963.30

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Solution

The fourth proportional to 4,113.90, 6,173.37 and 3,963.30 is: 5,947.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.90 : 6,173.37 = 3,963.30 : x
  2. Step 2: Convert to fraction form
    4,113.90/6,173.37 = 3,963.30/x
  3. Step 3: Cross multiply
    4,113.90x = 6,173.37 × 3,963.30
  4. Step 4: Simplify right side
    4,113.90x = 24,466,917.32
  5. Step 5: Solve for x
    x = 24,466,917.32/4,113.90
  6. Step 6: Final answer
    x = 5,947.38

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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.