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Finding the Fourth Proportional to 9,206.53, 12,705.09 and 5,227.72

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Solution

The fourth proportional to 9,206.53, 12,705.09 and 5,227.72 is: 7,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.53 : 12,705.09 = 5,227.72 : x
  2. Step 2: Convert to fraction form
    9,206.53/12,705.09 = 5,227.72/x
  3. Step 3: Cross multiply
    9,206.53x = 12,705.09 × 5,227.72
  4. Step 4: Simplify right side
    9,206.53x = 66,418,717.30
  5. Step 5: Solve for x
    x = 66,418,717.30/9,206.53
  6. Step 6: Final answer
    x = 7,214.31

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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.