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Finding the Fourth Proportional to 9,206.94, 12,706.92 and 5,227.23

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Solution

The fourth proportional to 9,206.94, 12,706.92 and 5,227.23 is: 7,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.94 : 12,706.92 = 5,227.23 : x
  2. Step 2: Convert to fraction form
    9,206.94/12,706.92 = 5,227.23/x
  3. Step 3: Cross multiply
    9,206.94x = 12,706.92 × 5,227.23
  4. Step 4: Simplify right side
    9,206.94x = 66,421,993.43
  5. Step 5: Solve for x
    x = 66,421,993.43/9,206.94
  6. Step 6: Final answer
    x = 7,214.34

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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.