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Finding the Fourth Proportional to 9,809.44, 13,538.82 and 5,832.82

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Solution

The fourth proportional to 9,809.44, 13,538.82 and 5,832.82 is: 8,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.44 : 13,538.82 = 5,832.82 : x
  2. Step 2: Convert to fraction form
    9,809.44/13,538.82 = 5,832.82/x
  3. Step 3: Cross multiply
    9,809.44x = 13,538.82 × 5,832.82
  4. Step 4: Simplify right side
    9,809.44x = 78,969,500.07
  5. Step 5: Solve for x
    x = 78,969,500.07/9,809.44
  6. Step 6: Final answer
    x = 8,050.36

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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.