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Finding the Fourth Proportional to 9,099.20, 13,644.86 and 3,831.57

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Solution

The fourth proportional to 9,099.20, 13,644.86 and 3,831.57 is: 5,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.20 : 13,644.86 = 3,831.57 : x
  2. Step 2: Convert to fraction form
    9,099.20/13,644.86 = 3,831.57/x
  3. Step 3: Cross multiply
    9,099.20x = 13,644.86 × 3,831.57
  4. Step 4: Simplify right side
    9,099.20x = 52,281,217.07
  5. Step 5: Solve for x
    x = 52,281,217.07/9,099.20
  6. Step 6: Final answer
    x = 5,745.69

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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.