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Finding the Fourth Proportional to 6,016.97, 8,302.42 and 3,364.47

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Solution

The fourth proportional to 6,016.97, 8,302.42 and 3,364.47 is: 4,642.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.97 : 8,302.42 = 3,364.47 : x
  2. Step 2: Convert to fraction form
    6,016.97/8,302.42 = 3,364.47/x
  3. Step 3: Cross multiply
    6,016.97x = 8,302.42 × 3,364.47
  4. Step 4: Simplify right side
    6,016.97x = 27,933,243.02
  5. Step 5: Solve for x
    x = 27,933,243.02/6,016.97
  6. Step 6: Final answer
    x = 4,642.41

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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.