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Finding the Fourth Proportional to 9,270.40, 12,797.28 and 5,917.64

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Solution

The fourth proportional to 9,270.40, 12,797.28 and 5,917.64 is: 8,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.40 : 12,797.28 = 5,917.64 : x
  2. Step 2: Convert to fraction form
    9,270.40/12,797.28 = 5,917.64/x
  3. Step 3: Cross multiply
    9,270.40x = 12,797.28 × 5,917.64
  4. Step 4: Simplify right side
    9,270.40x = 75,729,696.02
  5. Step 5: Solve for x
    x = 75,729,696.02/9,270.40
  6. Step 6: Final answer
    x = 8,168.98

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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.