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Finding the Fourth Proportional to 7,027.88, 9,694.04 and 4,507.34

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Solution

The fourth proportional to 7,027.88, 9,694.04 and 4,507.34 is: 6,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.88 : 9,694.04 = 4,507.34 : x
  2. Step 2: Convert to fraction form
    7,027.88/9,694.04 = 4,507.34/x
  3. Step 3: Cross multiply
    7,027.88x = 9,694.04 × 4,507.34
  4. Step 4: Simplify right side
    7,027.88x = 43,694,334.25
  5. Step 5: Solve for x
    x = 43,694,334.25/7,027.88
  6. Step 6: Final answer
    x = 6,217.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.