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Finding the Fourth Proportional to 9,789.23, 13,509.81 and 5,540.30

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Solution

The fourth proportional to 9,789.23, 13,509.81 and 5,540.30 is: 7,645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.23 : 13,509.81 = 5,540.30 : x
  2. Step 2: Convert to fraction form
    9,789.23/13,509.81 = 5,540.30/x
  3. Step 3: Cross multiply
    9,789.23x = 13,509.81 × 5,540.30
  4. Step 4: Simplify right side
    9,789.23x = 74,848,305.09
  5. Step 5: Solve for x
    x = 74,848,305.09/9,789.23
  6. Step 6: Final answer
    x = 7,645.98

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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.