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Finding the Fourth Proportional to 9,096.91, 13,636.76 and 4,163.60

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Solution

The fourth proportional to 9,096.91, 13,636.76 and 4,163.60 is: 6,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.91 : 13,636.76 = 4,163.60 : x
  2. Step 2: Convert to fraction form
    9,096.91/13,636.76 = 4,163.60/x
  3. Step 3: Cross multiply
    9,096.91x = 13,636.76 × 4,163.60
  4. Step 4: Simplify right side
    9,096.91x = 56,778,027.21
  5. Step 5: Solve for x
    x = 56,778,027.21/9,096.91
  6. Step 6: Final answer
    x = 6,241.46

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