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Finding the Fourth Proportional to 6,326.64, 9,495.75 and 3,208.80

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Solution

The fourth proportional to 6,326.64, 9,495.75 and 3,208.80 is: 4,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.64 : 9,495.75 = 3,208.80 : x
  2. Step 2: Convert to fraction form
    6,326.64/9,495.75 = 3,208.80/x
  3. Step 3: Cross multiply
    6,326.64x = 9,495.75 × 3,208.80
  4. Step 4: Simplify right side
    6,326.64x = 30,469,986.42
  5. Step 5: Solve for x
    x = 30,469,986.42/6,326.64
  6. Step 6: Final answer
    x = 4,816.14

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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.