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Finding the Fourth Proportional to 9,199.26, 12,606.57 and 8,313.54

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Solution

The fourth proportional to 9,199.26, 12,606.57 and 8,313.54 is: 11,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.26 : 12,606.57 = 8,313.54 : x
  2. Step 2: Convert to fraction form
    9,199.26/12,606.57 = 8,313.54/x
  3. Step 3: Cross multiply
    9,199.26x = 12,606.57 × 8,313.54
  4. Step 4: Simplify right side
    9,199.26x = 104,805,223.96
  5. Step 5: Solve for x
    x = 104,805,223.96/9,199.26
  6. Step 6: Final answer
    x = 11,392.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.