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Finding the Fourth Proportional to 6,148.27, 9,224.72 and 3,684.86

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Solution

The fourth proportional to 6,148.27, 9,224.72 and 3,684.86 is: 5,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.27 : 9,224.72 = 3,684.86 : x
  2. Step 2: Convert to fraction form
    6,148.27/9,224.72 = 3,684.86/x
  3. Step 3: Cross multiply
    6,148.27x = 9,224.72 × 3,684.86
  4. Step 4: Simplify right side
    6,148.27x = 33,991,785.60
  5. Step 5: Solve for x
    x = 33,991,785.60/6,148.27
  6. Step 6: Final answer
    x = 5,528.67

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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.