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Finding the Fourth Proportional to 9,500.92, 13,111.31 and 5,194.01

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Solution

The fourth proportional to 9,500.92, 13,111.31 and 5,194.01 is: 7,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.92 : 13,111.31 = 5,194.01 : x
  2. Step 2: Convert to fraction form
    9,500.92/13,111.31 = 5,194.01/x
  3. Step 3: Cross multiply
    9,500.92x = 13,111.31 × 5,194.01
  4. Step 4: Simplify right side
    9,500.92x = 68,100,275.25
  5. Step 5: Solve for x
    x = 68,100,275.25/9,500.92
  6. Step 6: Final answer
    x = 7,167.76

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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.