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Finding the Fourth Proportional to 9,633.83, 14,450.74 and 2,708.33

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Solution

The fourth proportional to 9,633.83, 14,450.74 and 2,708.33 is: 4,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.83 : 14,450.74 = 2,708.33 : x
  2. Step 2: Convert to fraction form
    9,633.83/14,450.74 = 2,708.33/x
  3. Step 3: Cross multiply
    9,633.83x = 14,450.74 × 2,708.33
  4. Step 4: Simplify right side
    9,633.83x = 39,137,372.66
  5. Step 5: Solve for x
    x = 39,137,372.66/9,633.83
  6. Step 6: Final answer
    x = 4,062.49

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Why These Related Problems?

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