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Finding the Fourth Proportional to 9,256.44, 13,889.94 and 3,412.28

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Solution

The fourth proportional to 9,256.44, 13,889.94 and 3,412.28 is: 5,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.44 : 13,889.94 = 3,412.28 : x
  2. Step 2: Convert to fraction form
    9,256.44/13,889.94 = 3,412.28/x
  3. Step 3: Cross multiply
    9,256.44x = 13,889.94 × 3,412.28
  4. Step 4: Simplify right side
    9,256.44x = 47,396,364.46
  5. Step 5: Solve for x
    x = 47,396,364.46/9,256.44
  6. Step 6: Final answer
    x = 5,120.37

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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.