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Finding the Fourth Proportional to 6,839.91, 9,441.41 and 4,008.19

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Solution

The fourth proportional to 6,839.91, 9,441.41 and 4,008.19 is: 5,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.91 : 9,441.41 = 4,008.19 : x
  2. Step 2: Convert to fraction form
    6,839.91/9,441.41 = 4,008.19/x
  3. Step 3: Cross multiply
    6,839.91x = 9,441.41 × 4,008.19
  4. Step 4: Simplify right side
    6,839.91x = 37,842,965.15
  5. Step 5: Solve for x
    x = 37,842,965.15/6,839.91
  6. Step 6: Final answer
    x = 5,532.67

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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.