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Finding the Fourth Proportional to 9,232.38, 12,736.62 and 6,247.17

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Solution

The fourth proportional to 9,232.38, 12,736.62 and 6,247.17 is: 8,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.38 : 12,736.62 = 6,247.17 : x
  2. Step 2: Convert to fraction form
    9,232.38/12,736.62 = 6,247.17/x
  3. Step 3: Cross multiply
    9,232.38x = 12,736.62 × 6,247.17
  4. Step 4: Simplify right side
    9,232.38x = 79,567,830.37
  5. Step 5: Solve for x
    x = 79,567,830.37/9,232.38
  6. Step 6: Final answer
    x = 8,618.34

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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.