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Finding the Fourth Proportional to 6,842.87, 10,267.37 and 4,214.36

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Solution

The fourth proportional to 6,842.87, 10,267.37 and 4,214.36 is: 6,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.87 : 10,267.37 = 4,214.36 : x
  2. Step 2: Convert to fraction form
    6,842.87/10,267.37 = 4,214.36/x
  3. Step 3: Cross multiply
    6,842.87x = 10,267.37 × 4,214.36
  4. Step 4: Simplify right side
    6,842.87x = 43,270,321.02
  5. Step 5: Solve for x
    x = 43,270,321.02/6,842.87
  6. Step 6: Final answer
    x = 6,323.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.