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Finding the Fourth Proportional to 6,469.94, 9,705.56 and 2,573.44

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Solution

The fourth proportional to 6,469.94, 9,705.56 and 2,573.44 is: 3,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.94 : 9,705.56 = 2,573.44 : x
  2. Step 2: Convert to fraction form
    6,469.94/9,705.56 = 2,573.44/x
  3. Step 3: Cross multiply
    6,469.94x = 9,705.56 × 2,573.44
  4. Step 4: Simplify right side
    6,469.94x = 24,976,639.20
  5. Step 5: Solve for x
    x = 24,976,639.20/6,469.94
  6. Step 6: Final answer
    x = 3,860.41

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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.