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Finding the Fourth Proportional to 9,515.36, 13,136.49 and 5,739.48

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Solution

The fourth proportional to 9,515.36, 13,136.49 and 5,739.48 is: 7,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.36 : 13,136.49 = 5,739.48 : x
  2. Step 2: Convert to fraction form
    9,515.36/13,136.49 = 5,739.48/x
  3. Step 3: Cross multiply
    9,515.36x = 13,136.49 × 5,739.48
  4. Step 4: Simplify right side
    9,515.36x = 75,396,621.63
  5. Step 5: Solve for x
    x = 75,396,621.63/9,515.36
  6. Step 6: Final answer
    x = 7,923.67

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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.