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Finding the Fourth Proportional to 9,794.25, 13,497.17 and 6,251.31

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Solution

The fourth proportional to 9,794.25, 13,497.17 and 6,251.31 is: 8,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.25 : 13,497.17 = 6,251.31 : x
  2. Step 2: Convert to fraction form
    9,794.25/13,497.17 = 6,251.31/x
  3. Step 3: Cross multiply
    9,794.25x = 13,497.17 × 6,251.31
  4. Step 4: Simplify right side
    9,794.25x = 84,374,962.54
  5. Step 5: Solve for x
    x = 84,374,962.54/9,794.25
  6. Step 6: Final answer
    x = 8,614.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.