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Finding the Fourth Proportional to 9,224.22, 13,824.72 and 5,007.34

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Solution

The fourth proportional to 9,224.22, 13,824.72 and 5,007.34 is: 7,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.22 : 13,824.72 = 5,007.34 : x
  2. Step 2: Convert to fraction form
    9,224.22/13,824.72 = 5,007.34/x
  3. Step 3: Cross multiply
    9,224.22x = 13,824.72 × 5,007.34
  4. Step 4: Simplify right side
    9,224.22x = 69,225,073.44
  5. Step 5: Solve for x
    x = 69,225,073.44/9,224.22
  6. Step 6: Final answer
    x = 7,504.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.