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Finding the Fourth Proportional to 6,326.25, 9,495.16 and 3,208.41

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Solution

The fourth proportional to 6,326.25, 9,495.16 and 3,208.41 is: 4,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.25 : 9,495.16 = 3,208.41 : x
  2. Step 2: Convert to fraction form
    6,326.25/9,495.16 = 3,208.41/x
  3. Step 3: Cross multiply
    6,326.25x = 9,495.16 × 3,208.41
  4. Step 4: Simplify right side
    6,326.25x = 30,464,366.30
  5. Step 5: Solve for x
    x = 30,464,366.30/6,326.25
  6. Step 6: Final answer
    x = 4,815.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.