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Finding the Fourth Proportional to 9,842.82, 13,581.45 and 5,651.34

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Solution

The fourth proportional to 9,842.82, 13,581.45 and 5,651.34 is: 7,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.82 : 13,581.45 = 5,651.34 : x
  2. Step 2: Convert to fraction form
    9,842.82/13,581.45 = 5,651.34/x
  3. Step 3: Cross multiply
    9,842.82x = 13,581.45 × 5,651.34
  4. Step 4: Simplify right side
    9,842.82x = 76,753,391.64
  5. Step 5: Solve for x
    x = 76,753,391.64/9,842.82
  6. Step 6: Final answer
    x = 7,797.91

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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.