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Finding the Fourth Proportional to 9,496.27, 13,100.50 and 5,516.64

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Solution

The fourth proportional to 9,496.27, 13,100.50 and 5,516.64 is: 7,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.27 : 13,100.50 = 5,516.64 : x
  2. Step 2: Convert to fraction form
    9,496.27/13,100.50 = 5,516.64/x
  3. Step 3: Cross multiply
    9,496.27x = 13,100.50 × 5,516.64
  4. Step 4: Simplify right side
    9,496.27x = 72,270,749.22
  5. Step 5: Solve for x
    x = 72,270,749.22/9,496.27
  6. Step 6: Final answer
    x = 7,610.43

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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.