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Finding the Fourth Proportional to 6,168.82, 9,257.47 and 5,346.26

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Solution

The fourth proportional to 6,168.82, 9,257.47 and 5,346.26 is: 8,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.82 : 9,257.47 = 5,346.26 : x
  2. Step 2: Convert to fraction form
    6,168.82/9,257.47 = 5,346.26/x
  3. Step 3: Cross multiply
    6,168.82x = 9,257.47 × 5,346.26
  4. Step 4: Simplify right side
    6,168.82x = 49,492,841.56
  5. Step 5: Solve for x
    x = 49,492,841.56/6,168.82
  6. Step 6: Final answer
    x = 8,023.07

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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.