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Finding the Fourth Proportional to 9,704.25, 13,391.87 and 5,288.25

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Solution

The fourth proportional to 9,704.25, 13,391.87 and 5,288.25 is: 7,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.25 : 13,391.87 = 5,288.25 : x
  2. Step 2: Convert to fraction form
    9,704.25/13,391.87 = 5,288.25/x
  3. Step 3: Cross multiply
    9,704.25x = 13,391.87 × 5,288.25
  4. Step 4: Simplify right side
    9,704.25x = 70,819,556.53
  5. Step 5: Solve for x
    x = 70,819,556.53/9,704.25
  6. Step 6: Final answer
    x = 7,297.79

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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.