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Finding the Fourth Proportional to 9,206.41, 12,706.17 and 5,227.89

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Solution

The fourth proportional to 9,206.41, 12,706.17 and 5,227.89 is: 7,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.41 : 12,706.17 = 5,227.89 : x
  2. Step 2: Convert to fraction form
    9,206.41/12,706.17 = 5,227.89/x
  3. Step 3: Cross multiply
    9,206.41x = 12,706.17 × 5,227.89
  4. Step 4: Simplify right side
    9,206.41x = 66,426,463.30
  5. Step 5: Solve for x
    x = 66,426,463.30/9,206.41
  6. Step 6: Final answer
    x = 7,215.24

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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.