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Finding the Fourth Proportional to 9,269.44, 13,901.28 and 3,112

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Solution

The fourth proportional to 9,269.44, 13,901.28 and 3,112 is: 4,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.44 : 13,901.28 = 3,112 : x
  2. Step 2: Convert to fraction form
    9,269.44/13,901.28 = 3,112/x
  3. Step 3: Cross multiply
    9,269.44x = 13,901.28 × 3,112
  4. Step 4: Simplify right side
    9,269.44x = 43,260,783.36
  5. Step 5: Solve for x
    x = 43,260,783.36/9,269.44
  6. Step 6: Final answer
    x = 4,667.03

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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.