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Finding the Fourth Proportional to 9,794.50, 14,682.03 and 5,414.02

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Solution

The fourth proportional to 9,794.50, 14,682.03 and 5,414.02 is: 8,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.50 : 14,682.03 = 5,414.02 : x
  2. Step 2: Convert to fraction form
    9,794.50/14,682.03 = 5,414.02/x
  3. Step 3: Cross multiply
    9,794.50x = 14,682.03 × 5,414.02
  4. Step 4: Simplify right side
    9,794.50x = 79,488,804.06
  5. Step 5: Solve for x
    x = 79,488,804.06/9,794.50
  6. Step 6: Final answer
    x = 8,115.66

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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.