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Finding the Fourth Proportional to 6,367.52, 8,785.39 and 3,814.23

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Solution

The fourth proportional to 6,367.52, 8,785.39 and 3,814.23 is: 5,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.52 : 8,785.39 = 3,814.23 : x
  2. Step 2: Convert to fraction form
    6,367.52/8,785.39 = 3,814.23/x
  3. Step 3: Cross multiply
    6,367.52x = 8,785.39 × 3,814.23
  4. Step 4: Simplify right side
    6,367.52x = 33,509,498.10
  5. Step 5: Solve for x
    x = 33,509,498.10/6,367.52
  6. Step 6: Final answer
    x = 5,262.57

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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.