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Finding the Fourth Proportional to 9,206.80, 12,706.41 and 6,228.70

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Solution

The fourth proportional to 9,206.80, 12,706.41 and 6,228.70 is: 8,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.80 : 12,706.41 = 6,228.70 : x
  2. Step 2: Convert to fraction form
    9,206.80/12,706.41 = 6,228.70/x
  3. Step 3: Cross multiply
    9,206.80x = 12,706.41 × 6,228.70
  4. Step 4: Simplify right side
    9,206.80x = 79,144,415.97
  5. Step 5: Solve for x
    x = 79,144,415.97/9,206.80
  6. Step 6: Final answer
    x = 8,596.30

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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.