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Finding the Fourth Proportional to 6,326.50, 9,495.54 and 3,208.66

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Solution

The fourth proportional to 6,326.50, 9,495.54 and 3,208.66 is: 4,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.50 : 9,495.54 = 3,208.66 : x
  2. Step 2: Convert to fraction form
    6,326.50/9,495.54 = 3,208.66/x
  3. Step 3: Cross multiply
    6,326.50x = 9,495.54 × 3,208.66
  4. Step 4: Simplify right side
    6,326.50x = 30,467,935.64
  5. Step 5: Solve for x
    x = 30,467,935.64/6,326.50
  6. Step 6: Final answer
    x = 4,815.92

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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.