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Finding the Fourth Proportional to 9,469.44, 13,068 and 5,277.36

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Solution

The fourth proportional to 9,469.44, 13,068 and 5,277.36 is: 7,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.44 : 13,068 = 5,277.36 : x
  2. Step 2: Convert to fraction form
    9,469.44/13,068 = 5,277.36/x
  3. Step 3: Cross multiply
    9,469.44x = 13,068 × 5,277.36
  4. Step 4: Simplify right side
    9,469.44x = 68,964,540.48
  5. Step 5: Solve for x
    x = 68,964,540.48/9,469.44
  6. Step 6: Final answer
    x = 7,282.85

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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.