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Finding the Fourth Proportional to 6,069.43, 9,104.14 and 3,470.54

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Solution

The fourth proportional to 6,069.43, 9,104.14 and 3,470.54 is: 5,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.43 : 9,104.14 = 3,470.54 : x
  2. Step 2: Convert to fraction form
    6,069.43/9,104.14 = 3,470.54/x
  3. Step 3: Cross multiply
    6,069.43x = 9,104.14 × 3,470.54
  4. Step 4: Simplify right side
    6,069.43x = 31,596,282.04
  5. Step 5: Solve for x
    x = 31,596,282.04/6,069.43
  6. Step 6: Final answer
    x = 5,205.81

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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.