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Finding the Fourth Proportional to 6,976.54, 9,629.04 and 4,286.53

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Solution

The fourth proportional to 6,976.54, 9,629.04 and 4,286.53 is: 5,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.54 : 9,629.04 = 4,286.53 : x
  2. Step 2: Convert to fraction form
    6,976.54/9,629.04 = 4,286.53/x
  3. Step 3: Cross multiply
    6,976.54x = 9,629.04 × 4,286.53
  4. Step 4: Simplify right side
    6,976.54x = 41,275,168.83
  5. Step 5: Solve for x
    x = 41,275,168.83/6,976.54
  6. Step 6: Final answer
    x = 5,916.28

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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.