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Finding the Fourth Proportional to 6,968.60, 9,613.93 and 3,982.83

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Solution

The fourth proportional to 6,968.60, 9,613.93 and 3,982.83 is: 5,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.60 : 9,613.93 = 3,982.83 : x
  2. Step 2: Convert to fraction form
    6,968.60/9,613.93 = 3,982.83/x
  3. Step 3: Cross multiply
    6,968.60x = 9,613.93 × 3,982.83
  4. Step 4: Simplify right side
    6,968.60x = 38,290,638.86
  5. Step 5: Solve for x
    x = 38,290,638.86/6,968.60
  6. Step 6: Final answer
    x = 5,494.74

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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.