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Finding the Fourth Proportional to 6,851.57, 9,455.33 and 4,200.44

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Solution

The fourth proportional to 6,851.57, 9,455.33 and 4,200.44 is: 5,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.57 : 9,455.33 = 4,200.44 : x
  2. Step 2: Convert to fraction form
    6,851.57/9,455.33 = 4,200.44/x
  3. Step 3: Cross multiply
    6,851.57x = 9,455.33 × 4,200.44
  4. Step 4: Simplify right side
    6,851.57x = 39,716,509.57
  5. Step 5: Solve for x
    x = 39,716,509.57/6,851.57
  6. Step 6: Final answer
    x = 5,796.71

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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.