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Finding the Fourth Proportional to 9,224.05, 12,727.20 and 5,865.64

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Solution

The fourth proportional to 9,224.05, 12,727.20 and 5,865.64 is: 8,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.05 : 12,727.20 = 5,865.64 : x
  2. Step 2: Convert to fraction form
    9,224.05/12,727.20 = 5,865.64/x
  3. Step 3: Cross multiply
    9,224.05x = 12,727.20 × 5,865.64
  4. Step 4: Simplify right side
    9,224.05x = 74,653,182.88
  5. Step 5: Solve for x
    x = 74,653,182.88/9,224.05
  6. Step 6: Final answer
    x = 8,093.32

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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.