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Finding the Fourth Proportional to 6,785.37, 9,364.10 and 3,801.24

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Solution

The fourth proportional to 6,785.37, 9,364.10 and 3,801.24 is: 5,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.37 : 9,364.10 = 3,801.24 : x
  2. Step 2: Convert to fraction form
    6,785.37/9,364.10 = 3,801.24/x
  3. Step 3: Cross multiply
    6,785.37x = 9,364.10 × 3,801.24
  4. Step 4: Simplify right side
    6,785.37x = 35,595,172.48
  5. Step 5: Solve for x
    x = 35,595,172.48/6,785.37
  6. Step 6: Final answer
    x = 5,245.87

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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.