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Finding the Fourth Proportional to 9,226.00, 13,840.37 and 4,843.80

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Solution

The fourth proportional to 9,226.00, 13,840.37 and 4,843.80 is: 7,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.00 : 13,840.37 = 4,843.80 : x
  2. Step 2: Convert to fraction form
    9,226.00/13,840.37 = 4,843.80/x
  3. Step 3: Cross multiply
    9,226.00x = 13,840.37 × 4,843.80
  4. Step 4: Simplify right side
    9,226.00x = 67,039,978.15
  5. Step 5: Solve for x
    x = 67,039,978.15/9,226.00
  6. Step 6: Final answer
    x = 7,266.42

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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.