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Finding the Fourth Proportional to 9,633.66, 14,450.79 and 2,613.65

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Solution

The fourth proportional to 9,633.66, 14,450.79 and 2,613.65 is: 3,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.66 : 14,450.79 = 2,613.65 : x
  2. Step 2: Convert to fraction form
    9,633.66/14,450.79 = 2,613.65/x
  3. Step 3: Cross multiply
    9,633.66x = 14,450.79 × 2,613.65
  4. Step 4: Simplify right side
    9,633.66x = 37,769,279.42
  5. Step 5: Solve for x
    x = 37,769,279.42/9,633.66
  6. Step 6: Final answer
    x = 3,920.56

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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.