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Finding the Fourth Proportional to 9,633.73, 14,448.77 and 3,059.97

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Solution

The fourth proportional to 9,633.73, 14,448.77 and 3,059.97 is: 4,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.73 : 14,448.77 = 3,059.97 : x
  2. Step 2: Convert to fraction form
    9,633.73/14,448.77 = 3,059.97/x
  3. Step 3: Cross multiply
    9,633.73x = 14,448.77 × 3,059.97
  4. Step 4: Simplify right side
    9,633.73x = 44,212,802.74
  5. Step 5: Solve for x
    x = 44,212,802.74/9,633.73
  6. Step 6: Final answer
    x = 4,589.38

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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.