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Finding the Fourth Proportional to 6,027.10, 9,034.46 and 2,128.84

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Solution

The fourth proportional to 6,027.10, 9,034.46 and 2,128.84 is: 3,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.10 : 9,034.46 = 2,128.84 : x
  2. Step 2: Convert to fraction form
    6,027.10/9,034.46 = 2,128.84/x
  3. Step 3: Cross multiply
    6,027.10x = 9,034.46 × 2,128.84
  4. Step 4: Simplify right side
    6,027.10x = 19,232,919.83
  5. Step 5: Solve for x
    x = 19,232,919.83/6,027.10
  6. Step 6: Final answer
    x = 3,191.07

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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.