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Finding the Fourth Proportional to 9,672.82, 13,356.03 and 7,431.15

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Solution

The fourth proportional to 9,672.82, 13,356.03 and 7,431.15 is: 10,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.82 : 13,356.03 = 7,431.15 : x
  2. Step 2: Convert to fraction form
    9,672.82/13,356.03 = 7,431.15/x
  3. Step 3: Cross multiply
    9,672.82x = 13,356.03 × 7,431.15
  4. Step 4: Simplify right side
    9,672.82x = 99,250,662.33
  5. Step 5: Solve for x
    x = 99,250,662.33/9,672.82
  6. Step 6: Final answer
    x = 10,260.78

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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.