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Finding the Fourth Proportional to 9,040.96, 13,562.46 and 3,198.16

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Solution

The fourth proportional to 9,040.96, 13,562.46 and 3,198.16 is: 4,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.96 : 13,562.46 = 3,198.16 : x
  2. Step 2: Convert to fraction form
    9,040.96/13,562.46 = 3,198.16/x
  3. Step 3: Cross multiply
    9,040.96x = 13,562.46 × 3,198.16
  4. Step 4: Simplify right side
    9,040.96x = 43,374,917.07
  5. Step 5: Solve for x
    x = 43,374,917.07/9,040.96
  6. Step 6: Final answer
    x = 4,797.60

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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.