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Finding the Fourth Proportional to 9,818.82, 14,728.54 and 3,896.81

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Solution

The fourth proportional to 9,818.82, 14,728.54 and 3,896.81 is: 5,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.82 : 14,728.54 = 3,896.81 : x
  2. Step 2: Convert to fraction form
    9,818.82/14,728.54 = 3,896.81/x
  3. Step 3: Cross multiply
    9,818.82x = 14,728.54 × 3,896.81
  4. Step 4: Simplify right side
    9,818.82x = 57,394,248.31
  5. Step 5: Solve for x
    x = 57,394,248.31/9,818.82
  6. Step 6: Final answer
    x = 5,845.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.