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Finding the Fourth Proportional to 6,504.64, 9,759.22 and 4,727.36

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Solution

The fourth proportional to 6,504.64, 9,759.22 and 4,727.36 is: 7,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.64 : 9,759.22 = 4,727.36 : x
  2. Step 2: Convert to fraction form
    6,504.64/9,759.22 = 4,727.36/x
  3. Step 3: Cross multiply
    6,504.64x = 9,759.22 × 4,727.36
  4. Step 4: Simplify right side
    6,504.64x = 46,135,358.84
  5. Step 5: Solve for x
    x = 46,135,358.84/6,504.64
  6. Step 6: Final answer
    x = 7,092.69

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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.