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Finding the Fourth Proportional to 6,469.98, 9,705.37 and 2,574.28

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Solution

The fourth proportional to 6,469.98, 9,705.37 and 2,574.28 is: 3,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.98 : 9,705.37 = 2,574.28 : x
  2. Step 2: Convert to fraction form
    6,469.98/9,705.37 = 2,574.28/x
  3. Step 3: Cross multiply
    6,469.98x = 9,705.37 × 2,574.28
  4. Step 4: Simplify right side
    6,469.98x = 24,984,350.41
  5. Step 5: Solve for x
    x = 24,984,350.41/6,469.98
  6. Step 6: Final answer
    x = 3,861.58

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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.