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Finding the Fourth Proportional to 9,424.50, 13,006.22 and 5,232.75

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Solution

The fourth proportional to 9,424.50, 13,006.22 and 5,232.75 is: 7,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.50 : 13,006.22 = 5,232.75 : x
  2. Step 2: Convert to fraction form
    9,424.50/13,006.22 = 5,232.75/x
  3. Step 3: Cross multiply
    9,424.50x = 13,006.22 × 5,232.75
  4. Step 4: Simplify right side
    9,424.50x = 68,058,271.54
  5. Step 5: Solve for x
    x = 68,058,271.54/9,424.50
  6. Step 6: Final answer
    x = 7,221.42

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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.