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Finding the Fourth Proportional to 9,633.67, 14,441.74 and 3,706.77

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Solution

The fourth proportional to 9,633.67, 14,441.74 and 3,706.77 is: 5,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.67 : 14,441.74 = 3,706.77 : x
  2. Step 2: Convert to fraction form
    9,633.67/14,441.74 = 3,706.77/x
  3. Step 3: Cross multiply
    9,633.67x = 14,441.74 × 3,706.77
  4. Step 4: Simplify right side
    9,633.67x = 53,532,236.19
  5. Step 5: Solve for x
    x = 53,532,236.19/9,633.67
  6. Step 6: Final answer
    x = 5,556.79

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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.