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Finding the Fourth Proportional to 6,091.96, 9,130.81 and 5,399.95

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Solution

The fourth proportional to 6,091.96, 9,130.81 and 5,399.95 is: 8,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.96 : 9,130.81 = 5,399.95 : x
  2. Step 2: Convert to fraction form
    6,091.96/9,130.81 = 5,399.95/x
  3. Step 3: Cross multiply
    6,091.96x = 9,130.81 × 5,399.95
  4. Step 4: Simplify right side
    6,091.96x = 49,305,917.46
  5. Step 5: Solve for x
    x = 49,305,917.46/6,091.96
  6. Step 6: Final answer
    x = 8,093.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.