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Finding the Fourth Proportional to 6,027.34, 9,042.23 and 2,134.48

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Solution

The fourth proportional to 6,027.34, 9,042.23 and 2,134.48 is: 3,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.34 : 9,042.23 = 2,134.48 : x
  2. Step 2: Convert to fraction form
    6,027.34/9,042.23 = 2,134.48/x
  3. Step 3: Cross multiply
    6,027.34x = 9,042.23 × 2,134.48
  4. Step 4: Simplify right side
    6,027.34x = 19,300,448.42
  5. Step 5: Solve for x
    x = 19,300,448.42/6,027.34
  6. Step 6: Final answer
    x = 3,202.15

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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.