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Finding the Fourth Proportional to 6,828.83, 9,420.42 and 4,171.62

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Solution

The fourth proportional to 6,828.83, 9,420.42 and 4,171.62 is: 5,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.83 : 9,420.42 = 4,171.62 : x
  2. Step 2: Convert to fraction form
    6,828.83/9,420.42 = 4,171.62/x
  3. Step 3: Cross multiply
    6,828.83x = 9,420.42 × 4,171.62
  4. Step 4: Simplify right side
    6,828.83x = 39,298,412.48
  5. Step 5: Solve for x
    x = 39,298,412.48/6,828.83
  6. Step 6: Final answer
    x = 5,754.78

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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.