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Finding the Fourth Proportional to 9,469.85, 13,069.37 and 5,694.25

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Solution

The fourth proportional to 9,469.85, 13,069.37 and 5,694.25 is: 7,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.85 : 13,069.37 = 5,694.25 : x
  2. Step 2: Convert to fraction form
    9,469.85/13,069.37 = 5,694.25/x
  3. Step 3: Cross multiply
    9,469.85x = 13,069.37 × 5,694.25
  4. Step 4: Simplify right side
    9,469.85x = 74,420,260.12
  5. Step 5: Solve for x
    x = 74,420,260.12/9,469.85
  6. Step 6: Final answer
    x = 7,858.65

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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.