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Finding the Fourth Proportional to 9,099.75, 13,650.02 and 3,177.23

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Solution

The fourth proportional to 9,099.75, 13,650.02 and 3,177.23 is: 4,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.75 : 13,650.02 = 3,177.23 : x
  2. Step 2: Convert to fraction form
    9,099.75/13,650.02 = 3,177.23/x
  3. Step 3: Cross multiply
    9,099.75x = 13,650.02 × 3,177.23
  4. Step 4: Simplify right side
    9,099.75x = 43,369,253.04
  5. Step 5: Solve for x
    x = 43,369,253.04/9,099.75
  6. Step 6: Final answer
    x = 4,765.98

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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.