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Finding the Fourth Proportional to 9,228.42, 12,734.78 and 5,249.79

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Solution

The fourth proportional to 9,228.42, 12,734.78 and 5,249.79 is: 7,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.42 : 12,734.78 = 5,249.79 : x
  2. Step 2: Convert to fraction form
    9,228.42/12,734.78 = 5,249.79/x
  3. Step 3: Cross multiply
    9,228.42x = 12,734.78 × 5,249.79
  4. Step 4: Simplify right side
    9,228.42x = 66,854,894.45
  5. Step 5: Solve for x
    x = 66,854,894.45/9,228.42
  6. Step 6: Final answer
    x = 7,244.46

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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.