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Finding the Fourth Proportional to 8,794.16, 13,194 and 3,867.94

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Solution

The fourth proportional to 8,794.16, 13,194 and 3,867.94 is: 5,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,794.16 : 13,194 = 3,867.94 : x
  2. Step 2: Convert to fraction form
    8,794.16/13,194 = 3,867.94/x
  3. Step 3: Cross multiply
    8,794.16x = 13,194 × 3,867.94
  4. Step 4: Simplify right side
    8,794.16x = 51,033,600.36
  5. Step 5: Solve for x
    x = 51,033,600.36/8,794.16
  6. Step 6: Final answer
    x = 5,803.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.