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Finding the Fourth Proportional to 9,481.12, 13,076.76 and 5,704

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Solution

The fourth proportional to 9,481.12, 13,076.76 and 5,704 is: 7,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.12 : 13,076.76 = 5,704 : x
  2. Step 2: Convert to fraction form
    9,481.12/13,076.76 = 5,704/x
  3. Step 3: Cross multiply
    9,481.12x = 13,076.76 × 5,704
  4. Step 4: Simplify right side
    9,481.12x = 74,589,839.04
  5. Step 5: Solve for x
    x = 74,589,839.04/9,481.12
  6. Step 6: Final answer
    x = 7,867.20

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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.