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Finding the Fourth Proportional to 9,242.24, 12,755.22 and 5,466.62

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Solution

The fourth proportional to 9,242.24, 12,755.22 and 5,466.62 is: 7,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.24 : 12,755.22 = 5,466.62 : x
  2. Step 2: Convert to fraction form
    9,242.24/12,755.22 = 5,466.62/x
  3. Step 3: Cross multiply
    9,242.24x = 12,755.22 × 5,466.62
  4. Step 4: Simplify right side
    9,242.24x = 69,727,982.89
  5. Step 5: Solve for x
    x = 69,727,982.89/9,242.24
  6. Step 6: Final answer
    x = 7,544.49

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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.