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Finding the Fourth Proportional to 9,206.29, 12,705.02 and 5,227.30

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Solution

The fourth proportional to 9,206.29, 12,705.02 and 5,227.30 is: 7,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.29 : 12,705.02 = 5,227.30 : x
  2. Step 2: Convert to fraction form
    9,206.29/12,705.02 = 5,227.30/x
  3. Step 3: Cross multiply
    9,206.29x = 12,705.02 × 5,227.30
  4. Step 4: Simplify right side
    9,206.29x = 66,412,924.91
  5. Step 5: Solve for x
    x = 66,412,924.91/9,206.29
  6. Step 6: Final answer
    x = 7,213.86

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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.