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Finding the Fourth Proportional to 6,968.03, 9,615.86 and 3,824.27

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Solution

The fourth proportional to 6,968.03, 9,615.86 and 3,824.27 is: 5,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.03 : 9,615.86 = 3,824.27 : x
  2. Step 2: Convert to fraction form
    6,968.03/9,615.86 = 3,824.27/x
  3. Step 3: Cross multiply
    6,968.03x = 9,615.86 × 3,824.27
  4. Step 4: Simplify right side
    6,968.03x = 36,773,625.80
  5. Step 5: Solve for x
    x = 36,773,625.80/6,968.03
  6. Step 6: Final answer
    x = 5,277.48

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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.