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Finding the Fourth Proportional to 9,271.28, 12,797.12 and 8,025.72

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Solution

The fourth proportional to 9,271.28, 12,797.12 and 8,025.72 is: 11,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.28 : 12,797.12 = 8,025.72 : x
  2. Step 2: Convert to fraction form
    9,271.28/12,797.12 = 8,025.72/x
  3. Step 3: Cross multiply
    9,271.28x = 12,797.12 × 8,025.72
  4. Step 4: Simplify right side
    9,271.28x = 102,706,101.93
  5. Step 5: Solve for x
    x = 102,706,101.93/9,271.28
  6. Step 6: Final answer
    x = 11,077.88

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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.