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Finding the Fourth Proportional to 9,241.38, 13,858.65 and 3,693.06

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Solution

The fourth proportional to 9,241.38, 13,858.65 and 3,693.06 is: 5,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.38 : 13,858.65 = 3,693.06 : x
  2. Step 2: Convert to fraction form
    9,241.38/13,858.65 = 3,693.06/x
  3. Step 3: Cross multiply
    9,241.38x = 13,858.65 × 3,693.06
  4. Step 4: Simplify right side
    9,241.38x = 51,180,825.97
  5. Step 5: Solve for x
    x = 51,180,825.97/9,241.38
  6. Step 6: Final answer
    x = 5,538.22

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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.