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Finding the Fourth Proportional to 9,682.47, 13,356.89 and 6,327.25

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Solution

The fourth proportional to 9,682.47, 13,356.89 and 6,327.25 is: 8,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.47 : 13,356.89 = 6,327.25 : x
  2. Step 2: Convert to fraction form
    9,682.47/13,356.89 = 6,327.25/x
  3. Step 3: Cross multiply
    9,682.47x = 13,356.89 × 6,327.25
  4. Step 4: Simplify right side
    9,682.47x = 84,512,382.25
  5. Step 5: Solve for x
    x = 84,512,382.25/9,682.47
  6. Step 6: Final answer
    x = 8,728.39

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Why These Related Problems?

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