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Finding the Fourth Proportional to 9,424.50, 13,005.81 and 5,232.78

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Solution

The fourth proportional to 9,424.50, 13,005.81 and 5,232.78 is: 7,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.50 : 13,005.81 = 5,232.78 : x
  2. Step 2: Convert to fraction form
    9,424.50/13,005.81 = 5,232.78/x
  3. Step 3: Cross multiply
    9,424.50x = 13,005.81 × 5,232.78
  4. Step 4: Simplify right side
    9,424.50x = 68,056,542.45
  5. Step 5: Solve for x
    x = 68,056,542.45/9,424.50
  6. Step 6: Final answer
    x = 7,221.24

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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.