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Finding the Fourth Proportional to 9,768.87, 13,481.71 and 5,518.46

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Solution

The fourth proportional to 9,768.87, 13,481.71 and 5,518.46 is: 7,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.87 : 13,481.71 = 5,518.46 : x
  2. Step 2: Convert to fraction form
    9,768.87/13,481.71 = 5,518.46/x
  3. Step 3: Cross multiply
    9,768.87x = 13,481.71 × 5,518.46
  4. Step 4: Simplify right side
    9,768.87x = 74,398,297.27
  5. Step 5: Solve for x
    x = 74,398,297.27/9,768.87
  6. Step 6: Final answer
    x = 7,615.85

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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.