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Finding the Fourth Proportional to 9,206.80, 12,705.26 and 5,227.88

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Solution

The fourth proportional to 9,206.80, 12,705.26 and 5,227.88 is: 7,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.80 : 12,705.26 = 5,227.88 : x
  2. Step 2: Convert to fraction form
    9,206.80/12,705.26 = 5,227.88/x
  3. Step 3: Cross multiply
    9,206.80x = 12,705.26 × 5,227.88
  4. Step 4: Simplify right side
    9,206.80x = 66,421,484.98
  5. Step 5: Solve for x
    x = 66,421,484.98/9,206.80
  6. Step 6: Final answer
    x = 7,214.40

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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.