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Finding the Fourth Proportional to 6,504.70, 9,735.45 and 5,727.10

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Solution

The fourth proportional to 6,504.70, 9,735.45 and 5,727.10 is: 8,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.70 : 9,735.45 = 5,727.10 : x
  2. Step 2: Convert to fraction form
    6,504.70/9,735.45 = 5,727.10/x
  3. Step 3: Cross multiply
    6,504.70x = 9,735.45 × 5,727.10
  4. Step 4: Simplify right side
    6,504.70x = 55,755,895.70
  5. Step 5: Solve for x
    x = 55,755,895.70/6,504.70
  6. Step 6: Final answer
    x = 8,571.63

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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.