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Finding the Fourth Proportional to 6,134.84, 9,190.02 and 2,843.48

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Solution

The fourth proportional to 6,134.84, 9,190.02 and 2,843.48 is: 4,259.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.84 : 9,190.02 = 2,843.48 : x
  2. Step 2: Convert to fraction form
    6,134.84/9,190.02 = 2,843.48/x
  3. Step 3: Cross multiply
    6,134.84x = 9,190.02 × 2,843.48
  4. Step 4: Simplify right side
    6,134.84x = 26,131,638.07
  5. Step 5: Solve for x
    x = 26,131,638.07/6,134.84
  6. Step 6: Final answer
    x = 4,259.55

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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.