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Finding the Fourth Proportional to 9,224.12, 13,825.73 and 8,111.39

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Solution

The fourth proportional to 9,224.12, 13,825.73 and 8,111.39 is: 12,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.12 : 13,825.73 = 8,111.39 : x
  2. Step 2: Convert to fraction form
    9,224.12/13,825.73 = 8,111.39/x
  3. Step 3: Cross multiply
    9,224.12x = 13,825.73 × 8,111.39
  4. Step 4: Simplify right side
    9,224.12x = 112,145,778.38
  5. Step 5: Solve for x
    x = 112,145,778.38/9,224.12
  6. Step 6: Final answer
    x = 12,157.89

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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.