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Finding the Fourth Proportional to 9,235.38, 12,736.32 and 6,255.60

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Solution

The fourth proportional to 9,235.38, 12,736.32 and 6,255.60 is: 8,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.38 : 12,736.32 = 6,255.60 : x
  2. Step 2: Convert to fraction form
    9,235.38/12,736.32 = 6,255.60/x
  3. Step 3: Cross multiply
    9,235.38x = 12,736.32 × 6,255.60
  4. Step 4: Simplify right side
    9,235.38x = 79,673,323.39
  5. Step 5: Solve for x
    x = 79,673,323.39/9,235.38
  6. Step 6: Final answer
    x = 8,626.97

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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.