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Finding the Fourth Proportional to 6,326.10, 9,494.96 and 3,208.28

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Solution

The fourth proportional to 6,326.10, 9,494.96 and 3,208.28 is: 4,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.10 : 9,494.96 = 3,208.28 : x
  2. Step 2: Convert to fraction form
    6,326.10/9,494.96 = 3,208.28/x
  3. Step 3: Cross multiply
    6,326.10x = 9,494.96 × 3,208.28
  4. Step 4: Simplify right side
    6,326.10x = 30,462,426.75
  5. Step 5: Solve for x
    x = 30,462,426.75/6,326.10
  6. Step 6: Final answer
    x = 4,815.36

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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.