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Finding the Fourth Proportional to 6,825.91, 9,420.67 and 3,842.33

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Solution

The fourth proportional to 6,825.91, 9,420.67 and 3,842.33 is: 5,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.91 : 9,420.67 = 3,842.33 : x
  2. Step 2: Convert to fraction form
    6,825.91/9,420.67 = 3,842.33/x
  3. Step 3: Cross multiply
    6,825.91x = 9,420.67 × 3,842.33
  4. Step 4: Simplify right side
    6,825.91x = 36,197,322.96
  5. Step 5: Solve for x
    x = 36,197,322.96/6,825.91
  6. Step 6: Final answer
    x = 5,302.93

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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.