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Finding the Fourth Proportional to 9,231.81, 13,845.16 and 3,966.60

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Solution

The fourth proportional to 9,231.81, 13,845.16 and 3,966.60 is: 5,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.81 : 13,845.16 = 3,966.60 : x
  2. Step 2: Convert to fraction form
    9,231.81/13,845.16 = 3,966.60/x
  3. Step 3: Cross multiply
    9,231.81x = 13,845.16 × 3,966.60
  4. Step 4: Simplify right side
    9,231.81x = 54,918,268.53
  5. Step 5: Solve for x
    x = 54,918,268.53/9,231.81
  6. Step 6: Final answer
    x = 5,948.81

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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.