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Finding the Fourth Proportional to 9,832.05, 13,573.14 and 7,703.97

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Solution

The fourth proportional to 9,832.05, 13,573.14 and 7,703.97 is: 10,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.05 : 13,573.14 = 7,703.97 : x
  2. Step 2: Convert to fraction form
    9,832.05/13,573.14 = 7,703.97/x
  3. Step 3: Cross multiply
    9,832.05x = 13,573.14 × 7,703.97
  4. Step 4: Simplify right side
    9,832.05x = 104,567,063.37
  5. Step 5: Solve for x
    x = 104,567,063.37/9,832.05
  6. Step 6: Final answer
    x = 10,635.33

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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.