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Finding the Fourth Proportional to 9,286.65, 13,929.98 and 8,266.05

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Solution

The fourth proportional to 9,286.65, 13,929.98 and 8,266.05 is: 12,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.65 : 13,929.98 = 8,266.05 : x
  2. Step 2: Convert to fraction form
    9,286.65/13,929.98 = 8,266.05/x
  3. Step 3: Cross multiply
    9,286.65x = 13,929.98 × 8,266.05
  4. Step 4: Simplify right side
    9,286.65x = 115,145,869.85
  5. Step 5: Solve for x
    x = 115,145,869.85/9,286.65
  6. Step 6: Final answer
    x = 12,399.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.