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Finding the Fourth Proportional to 9,096, 13,640.34 and 3,548.54

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Solution

The fourth proportional to 9,096, 13,640.34 and 3,548.54 is: 5,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096 : 13,640.34 = 3,548.54 : x
  2. Step 2: Convert to fraction form
    9,096/13,640.34 = 3,548.54/x
  3. Step 3: Cross multiply
    9,096x = 13,640.34 × 3,548.54
  4. Step 4: Simplify right side
    9,096x = 48,403,292.10
  5. Step 5: Solve for x
    x = 48,403,292.10/9,096
  6. Step 6: Final answer
    x = 5,321.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.