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Finding the Fourth Proportional to 8,921.36, 13,384.38 and 3,078.38

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Solution

The fourth proportional to 8,921.36, 13,384.38 and 3,078.38 is: 4,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,921.36 : 13,384.38 = 3,078.38 : x
  2. Step 2: Convert to fraction form
    8,921.36/13,384.38 = 3,078.38/x
  3. Step 3: Cross multiply
    8,921.36x = 13,384.38 × 3,078.38
  4. Step 4: Simplify right side
    8,921.36x = 41,202,207.70
  5. Step 5: Solve for x
    x = 41,202,207.70/8,921.36
  6. Step 6: Final answer
    x = 4,618.38

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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.