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Finding the Fourth Proportional to 9,324.24, 12,857.78 and 7,200.12

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Solution

The fourth proportional to 9,324.24, 12,857.78 and 7,200.12 is: 9,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.24 : 12,857.78 = 7,200.12 : x
  2. Step 2: Convert to fraction form
    9,324.24/12,857.78 = 7,200.12/x
  3. Step 3: Cross multiply
    9,324.24x = 12,857.78 × 7,200.12
  4. Step 4: Simplify right side
    9,324.24x = 92,577,576.93
  5. Step 5: Solve for x
    x = 92,577,576.93/9,324.24
  6. Step 6: Final answer
    x = 9,928.70

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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.