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Finding the Fourth Proportional to 9,843.83, 14,762.56 and 3,268.25

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Solution

The fourth proportional to 9,843.83, 14,762.56 and 3,268.25 is: 4,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.83 : 14,762.56 = 3,268.25 : x
  2. Step 2: Convert to fraction form
    9,843.83/14,762.56 = 3,268.25/x
  3. Step 3: Cross multiply
    9,843.83x = 14,762.56 × 3,268.25
  4. Step 4: Simplify right side
    9,843.83x = 48,247,720.38
  5. Step 5: Solve for x
    x = 48,247,720.38/9,843.83
  6. Step 6: Final answer
    x = 4,901.32

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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.