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Finding the Fourth Proportional to 6,191.28, 8,544.72 and 3,834.16

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Solution

The fourth proportional to 6,191.28, 8,544.72 and 3,834.16 is: 5,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.28 : 8,544.72 = 3,834.16 : x
  2. Step 2: Convert to fraction form
    6,191.28/8,544.72 = 3,834.16/x
  3. Step 3: Cross multiply
    6,191.28x = 8,544.72 × 3,834.16
  4. Step 4: Simplify right side
    6,191.28x = 32,761,823.64
  5. Step 5: Solve for x
    x = 32,761,823.64/6,191.28
  6. Step 6: Final answer
    x = 5,291.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.