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Finding the Fourth Proportional to 9,404.82, 12,975.22 and 5,628.09

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Solution

The fourth proportional to 9,404.82, 12,975.22 and 5,628.09 is: 7,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.82 : 12,975.22 = 5,628.09 : x
  2. Step 2: Convert to fraction form
    9,404.82/12,975.22 = 5,628.09/x
  3. Step 3: Cross multiply
    9,404.82x = 12,975.22 × 5,628.09
  4. Step 4: Simplify right side
    9,404.82x = 73,025,705.93
  5. Step 5: Solve for x
    x = 73,025,705.93/9,404.82
  6. Step 6: Final answer
    x = 7,764.71

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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.