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Finding the Fourth Proportional to 9,222.32, 12,727.64 and 5,243.42

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Solution

The fourth proportional to 9,222.32, 12,727.64 and 5,243.42 is: 7,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.32 : 12,727.64 = 5,243.42 : x
  2. Step 2: Convert to fraction form
    9,222.32/12,727.64 = 5,243.42/x
  3. Step 3: Cross multiply
    9,222.32x = 12,727.64 × 5,243.42
  4. Step 4: Simplify right side
    9,222.32x = 66,736,335.91
  5. Step 5: Solve for x
    x = 66,736,335.91/9,222.32
  6. Step 6: Final answer
    x = 7,236.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.