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Finding the Fourth Proportional to 9,382.56, 12,938.09 and 8,119.77

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Solution

The fourth proportional to 9,382.56, 12,938.09 and 8,119.77 is: 11,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.56 : 12,938.09 = 8,119.77 : x
  2. Step 2: Convert to fraction form
    9,382.56/12,938.09 = 8,119.77/x
  3. Step 3: Cross multiply
    9,382.56x = 12,938.09 × 8,119.77
  4. Step 4: Simplify right side
    9,382.56x = 105,054,274.44
  5. Step 5: Solve for x
    x = 105,054,274.44/9,382.56
  6. Step 6: Final answer
    x = 11,196.76

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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.