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Finding the Fourth Proportional to 6,584.11, 9,086.05 and 3,933.07

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Solution

The fourth proportional to 6,584.11, 9,086.05 and 3,933.07 is: 5,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.11 : 9,086.05 = 3,933.07 : x
  2. Step 2: Convert to fraction form
    6,584.11/9,086.05 = 3,933.07/x
  3. Step 3: Cross multiply
    6,584.11x = 9,086.05 × 3,933.07
  4. Step 4: Simplify right side
    6,584.11x = 35,736,070.67
  5. Step 5: Solve for x
    x = 35,736,070.67/6,584.11
  6. Step 6: Final answer
    x = 5,427.62

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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.