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Finding the Fourth Proportional to 9,383.32, 12,943.42 and 5,845.84

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Solution

The fourth proportional to 9,383.32, 12,943.42 and 5,845.84 is: 8,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.32 : 12,943.42 = 5,845.84 : x
  2. Step 2: Convert to fraction form
    9,383.32/12,943.42 = 5,845.84/x
  3. Step 3: Cross multiply
    9,383.32x = 12,943.42 × 5,845.84
  4. Step 4: Simplify right side
    9,383.32x = 75,665,162.37
  5. Step 5: Solve for x
    x = 75,665,162.37/9,383.32
  6. Step 6: Final answer
    x = 8,063.79

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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.