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Finding the Fourth Proportional to 9,732.19, 13,430.44 and 5,540.44

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Solution

The fourth proportional to 9,732.19, 13,430.44 and 5,540.44 is: 7,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.19 : 13,430.44 = 5,540.44 : x
  2. Step 2: Convert to fraction form
    9,732.19/13,430.44 = 5,540.44/x
  3. Step 3: Cross multiply
    9,732.19x = 13,430.44 × 5,540.44
  4. Step 4: Simplify right side
    9,732.19x = 74,410,519.29
  5. Step 5: Solve for x
    x = 74,410,519.29/9,732.19
  6. Step 6: Final answer
    x = 7,645.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.