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Finding the Fourth Proportional to 6,091.94, 9,119.28 and 3,902.78

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Solution

The fourth proportional to 6,091.94, 9,119.28 and 3,902.78 is: 5,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.94 : 9,119.28 = 3,902.78 : x
  2. Step 2: Convert to fraction form
    6,091.94/9,119.28 = 3,902.78/x
  3. Step 3: Cross multiply
    6,091.94x = 9,119.28 × 3,902.78
  4. Step 4: Simplify right side
    6,091.94x = 35,590,543.60
  5. Step 5: Solve for x
    x = 35,590,543.60/6,091.94
  6. Step 6: Final answer
    x = 5,842.23

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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.