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Finding the Fourth Proportional to 9,259.27, 12,777.94 and 5,226.30

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Solution

The fourth proportional to 9,259.27, 12,777.94 and 5,226.30 is: 7,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.27 : 12,777.94 = 5,226.30 : x
  2. Step 2: Convert to fraction form
    9,259.27/12,777.94 = 5,226.30/x
  3. Step 3: Cross multiply
    9,259.27x = 12,777.94 × 5,226.30
  4. Step 4: Simplify right side
    9,259.27x = 66,781,375.39
  5. Step 5: Solve for x
    x = 66,781,375.39/9,259.27
  6. Step 6: Final answer
    x = 7,212.38

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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.