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Finding the Fourth Proportional to 6,858.73, 9,464.69 and 3,833.31

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Solution

The fourth proportional to 6,858.73, 9,464.69 and 3,833.31 is: 5,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.73 : 9,464.69 = 3,833.31 : x
  2. Step 2: Convert to fraction form
    6,858.73/9,464.69 = 3,833.31/x
  3. Step 3: Cross multiply
    6,858.73x = 9,464.69 × 3,833.31
  4. Step 4: Simplify right side
    6,858.73x = 36,281,090.82
  5. Step 5: Solve for x
    x = 36,281,090.82/6,858.73
  6. Step 6: Final answer
    x = 5,289.77

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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.