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Finding the Fourth Proportional to 9,224.69, 13,850.96 and 7,370.30

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Solution

The fourth proportional to 9,224.69, 13,850.96 and 7,370.30 is: 11,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.69 : 13,850.96 = 7,370.30 : x
  2. Step 2: Convert to fraction form
    9,224.69/13,850.96 = 7,370.30/x
  3. Step 3: Cross multiply
    9,224.69x = 13,850.96 × 7,370.30
  4. Step 4: Simplify right side
    9,224.69x = 102,085,679.66
  5. Step 5: Solve for x
    x = 102,085,679.66/9,224.69
  6. Step 6: Final answer
    x = 11,066.58

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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.