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Finding the Fourth Proportional to 9,850.67, 13,593.75 and 5,374.31

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Solution

The fourth proportional to 9,850.67, 13,593.75 and 5,374.31 is: 7,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.67 : 13,593.75 = 5,374.31 : x
  2. Step 2: Convert to fraction form
    9,850.67/13,593.75 = 5,374.31/x
  3. Step 3: Cross multiply
    9,850.67x = 13,593.75 × 5,374.31
  4. Step 4: Simplify right side
    9,850.67x = 73,056,958.59
  5. Step 5: Solve for x
    x = 73,056,958.59/9,850.67
  6. Step 6: Final answer
    x = 7,416.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.