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Finding the Fourth Proportional to 9,693.72, 14,540.64 and 3,850.31

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Solution

The fourth proportional to 9,693.72, 14,540.64 and 3,850.31 is: 5,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.72 : 14,540.64 = 3,850.31 : x
  2. Step 2: Convert to fraction form
    9,693.72/14,540.64 = 3,850.31/x
  3. Step 3: Cross multiply
    9,693.72x = 14,540.64 × 3,850.31
  4. Step 4: Simplify right side
    9,693.72x = 55,985,971.60
  5. Step 5: Solve for x
    x = 55,985,971.60/9,693.72
  6. Step 6: Final answer
    x = 5,775.49

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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.