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Finding the Fourth Proportional to 9,450.97, 13,040.72 and 5,676.22

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Solution

The fourth proportional to 9,450.97, 13,040.72 and 5,676.22 is: 7,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450.97 : 13,040.72 = 5,676.22 : x
  2. Step 2: Convert to fraction form
    9,450.97/13,040.72 = 5,676.22/x
  3. Step 3: Cross multiply
    9,450.97x = 13,040.72 × 5,676.22
  4. Step 4: Simplify right side
    9,450.97x = 74,021,981.49
  5. Step 5: Solve for x
    x = 74,021,981.49/9,450.97
  6. Step 6: Final answer
    x = 7,832.21

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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.