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Finding the Fourth Proportional to 6,968.39, 9,615.73 and 4,135.27

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Solution

The fourth proportional to 6,968.39, 9,615.73 and 4,135.27 is: 5,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.39 : 9,615.73 = 4,135.27 : x
  2. Step 2: Convert to fraction form
    6,968.39/9,615.73 = 4,135.27/x
  3. Step 3: Cross multiply
    6,968.39x = 9,615.73 × 4,135.27
  4. Step 4: Simplify right side
    6,968.39x = 39,763,639.80
  5. Step 5: Solve for x
    x = 39,763,639.80/6,968.39
  6. Step 6: Final answer
    x = 5,706.29

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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.