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Finding the Fourth Proportional to 6,914.78, 9,539.68 and 3,889.20

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Solution

The fourth proportional to 6,914.78, 9,539.68 and 3,889.20 is: 5,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.78 : 9,539.68 = 3,889.20 : x
  2. Step 2: Convert to fraction form
    6,914.78/9,539.68 = 3,889.20/x
  3. Step 3: Cross multiply
    6,914.78x = 9,539.68 × 3,889.20
  4. Step 4: Simplify right side
    6,914.78x = 37,101,723.46
  5. Step 5: Solve for x
    x = 37,101,723.46/6,914.78
  6. Step 6: Final answer
    x = 5,365.57

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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.