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Finding the Fourth Proportional to 7,034.25, 9,706.23 and 5,976.27

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Solution

The fourth proportional to 7,034.25, 9,706.23 and 5,976.27 is: 8,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.25 : 9,706.23 = 5,976.27 : x
  2. Step 2: Convert to fraction form
    7,034.25/9,706.23 = 5,976.27/x
  3. Step 3: Cross multiply
    7,034.25x = 9,706.23 × 5,976.27
  4. Step 4: Simplify right side
    7,034.25x = 58,007,051.16
  5. Step 5: Solve for x
    x = 58,007,051.16/7,034.25
  6. Step 6: Final answer
    x = 8,246.37

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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.