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Finding the Fourth Proportional to 9,216.80, 12,728.24 and 5,865.92

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Solution

The fourth proportional to 9,216.80, 12,728.24 and 5,865.92 is: 8,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.80 : 12,728.24 = 5,865.92 : x
  2. Step 2: Convert to fraction form
    9,216.80/12,728.24 = 5,865.92/x
  3. Step 3: Cross multiply
    9,216.80x = 12,728.24 × 5,865.92
  4. Step 4: Simplify right side
    9,216.80x = 74,662,837.58
  5. Step 5: Solve for x
    x = 74,662,837.58/9,216.80
  6. Step 6: Final answer
    x = 8,100.73

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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.