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Finding the Fourth Proportional to 9,182.40, 13,766.38 and 3,918.22

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Solution

The fourth proportional to 9,182.40, 13,766.38 and 3,918.22 is: 5,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.40 : 13,766.38 = 3,918.22 : x
  2. Step 2: Convert to fraction form
    9,182.40/13,766.38 = 3,918.22/x
  3. Step 3: Cross multiply
    9,182.40x = 13,766.38 × 3,918.22
  4. Step 4: Simplify right side
    9,182.40x = 53,939,705.44
  5. Step 5: Solve for x
    x = 53,939,705.44/9,182.40
  6. Step 6: Final answer
    x = 5,874.25

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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.