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Finding the Fourth Proportional to 9,342.63, 12,892.82 and 5,150.97

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Solution

The fourth proportional to 9,342.63, 12,892.82 and 5,150.97 is: 7,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.63 : 12,892.82 = 5,150.97 : x
  2. Step 2: Convert to fraction form
    9,342.63/12,892.82 = 5,150.97/x
  3. Step 3: Cross multiply
    9,342.63x = 12,892.82 × 5,150.97
  4. Step 4: Simplify right side
    9,342.63x = 66,410,529.04
  5. Step 5: Solve for x
    x = 66,410,529.04/9,342.63
  6. Step 6: Final answer
    x = 7,108.33

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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.