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Finding the Fourth Proportional to 9,728.25, 13,420.31 and 6,369.58

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Solution

The fourth proportional to 9,728.25, 13,420.31 and 6,369.58 is: 8,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.25 : 13,420.31 = 6,369.58 : x
  2. Step 2: Convert to fraction form
    9,728.25/13,420.31 = 6,369.58/x
  3. Step 3: Cross multiply
    9,728.25x = 13,420.31 × 6,369.58
  4. Step 4: Simplify right side
    9,728.25x = 85,481,738.17
  5. Step 5: Solve for x
    x = 85,481,738.17/9,728.25
  6. Step 6: Final answer
    x = 8,786.96

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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.