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Finding the Fourth Proportional to 6,968.40, 9,615.88 and 3,823.96

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Solution

The fourth proportional to 6,968.40, 9,615.88 and 3,823.96 is: 5,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.40 : 9,615.88 = 3,823.96 : x
  2. Step 2: Convert to fraction form
    6,968.40/9,615.88 = 3,823.96/x
  3. Step 3: Cross multiply
    6,968.40x = 9,615.88 × 3,823.96
  4. Step 4: Simplify right side
    6,968.40x = 36,770,740.48
  5. Step 5: Solve for x
    x = 36,770,740.48/6,968.40
  6. Step 6: Final answer
    x = 5,276.78

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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.