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Finding the Fourth Proportional to 9,334.14, 12,882.34 and 5,354.48

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Solution

The fourth proportional to 9,334.14, 12,882.34 and 5,354.48 is: 7,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.14 : 12,882.34 = 5,354.48 : x
  2. Step 2: Convert to fraction form
    9,334.14/12,882.34 = 5,354.48/x
  3. Step 3: Cross multiply
    9,334.14x = 12,882.34 × 5,354.48
  4. Step 4: Simplify right side
    9,334.14x = 68,978,231.88
  5. Step 5: Solve for x
    x = 68,978,231.88/9,334.14
  6. Step 6: Final answer
    x = 7,389.89

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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.