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Finding the Fourth Proportional to 9,141.68, 13,710.96 and 3,297.44

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Solution

The fourth proportional to 9,141.68, 13,710.96 and 3,297.44 is: 4,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.68 : 13,710.96 = 3,297.44 : x
  2. Step 2: Convert to fraction form
    9,141.68/13,710.96 = 3,297.44/x
  3. Step 3: Cross multiply
    9,141.68x = 13,710.96 × 3,297.44
  4. Step 4: Simplify right side
    9,141.68x = 45,211,067.94
  5. Step 5: Solve for x
    x = 45,211,067.94/9,141.68
  6. Step 6: Final answer
    x = 4,945.60

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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.