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Finding the Fourth Proportional to 9,481.14, 14,215.62 and 3,938.31

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Solution

The fourth proportional to 9,481.14, 14,215.62 and 3,938.31 is: 5,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.14 : 14,215.62 = 3,938.31 : x
  2. Step 2: Convert to fraction form
    9,481.14/14,215.62 = 3,938.31/x
  3. Step 3: Cross multiply
    9,481.14x = 14,215.62 × 3,938.31
  4. Step 4: Simplify right side
    9,481.14x = 55,985,518.40
  5. Step 5: Solve for x
    x = 55,985,518.40/9,481.14
  6. Step 6: Final answer
    x = 5,904.94

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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.