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Finding the Fourth Proportional to 6,264.30, 8,644.71 and 3,469.80

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Solution

The fourth proportional to 6,264.30, 8,644.71 and 3,469.80 is: 4,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.30 : 8,644.71 = 3,469.80 : x
  2. Step 2: Convert to fraction form
    6,264.30/8,644.71 = 3,469.80/x
  3. Step 3: Cross multiply
    6,264.30x = 8,644.71 × 3,469.80
  4. Step 4: Simplify right side
    6,264.30x = 29,995,414.76
  5. Step 5: Solve for x
    x = 29,995,414.76/6,264.30
  6. Step 6: Final answer
    x = 4,788.31

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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.