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Finding the Fourth Proportional to 9,686.25, 14,520.49 and 3,767.09

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Solution

The fourth proportional to 9,686.25, 14,520.49 and 3,767.09 is: 5,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.25 : 14,520.49 = 3,767.09 : x
  2. Step 2: Convert to fraction form
    9,686.25/14,520.49 = 3,767.09/x
  3. Step 3: Cross multiply
    9,686.25x = 14,520.49 × 3,767.09
  4. Step 4: Simplify right side
    9,686.25x = 54,699,910.65
  5. Step 5: Solve for x
    x = 54,699,910.65/9,686.25
  6. Step 6: Final answer
    x = 5,647.17

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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.