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Finding the Fourth Proportional to 9,496.53, 13,102.34 and 5,516.87

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Solution

The fourth proportional to 9,496.53, 13,102.34 and 5,516.87 is: 7,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.53 : 13,102.34 = 5,516.87 : x
  2. Step 2: Convert to fraction form
    9,496.53/13,102.34 = 5,516.87/x
  3. Step 3: Cross multiply
    9,496.53x = 13,102.34 × 5,516.87
  4. Step 4: Simplify right side
    9,496.53x = 72,283,813.38
  5. Step 5: Solve for x
    x = 72,283,813.38/9,496.53
  6. Step 6: Final answer
    x = 7,611.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.