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Finding the Fourth Proportional to 9,633.56, 14,450.01 and 4,083.33

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Solution

The fourth proportional to 9,633.56, 14,450.01 and 4,083.33 is: 6,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.56 : 14,450.01 = 4,083.33 : x
  2. Step 2: Convert to fraction form
    9,633.56/14,450.01 = 4,083.33/x
  3. Step 3: Cross multiply
    9,633.56x = 14,450.01 × 4,083.33
  4. Step 4: Simplify right side
    9,633.56x = 59,004,159.33
  5. Step 5: Solve for x
    x = 59,004,159.33/9,633.56
  6. Step 6: Final answer
    x = 6,124.86

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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.