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Finding the Fourth Proportional to 9,238.76, 13,853.90 and 3,395.40

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Solution

The fourth proportional to 9,238.76, 13,853.90 and 3,395.40 is: 5,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.76 : 13,853.90 = 3,395.40 : x
  2. Step 2: Convert to fraction form
    9,238.76/13,853.90 = 3,395.40/x
  3. Step 3: Cross multiply
    9,238.76x = 13,853.90 × 3,395.40
  4. Step 4: Simplify right side
    9,238.76x = 47,039,532.06
  5. Step 5: Solve for x
    x = 47,039,532.06/9,238.76
  6. Step 6: Final answer
    x = 5,091.54

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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.