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Finding the Fourth Proportional to 9,794.89, 13,494.49 and 8,038

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Solution

The fourth proportional to 9,794.89, 13,494.49 and 8,038 is: 11,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.89 : 13,494.49 = 8,038 : x
  2. Step 2: Convert to fraction form
    9,794.89/13,494.49 = 8,038/x
  3. Step 3: Cross multiply
    9,794.89x = 13,494.49 × 8,038
  4. Step 4: Simplify right side
    9,794.89x = 108,468,710.62
  5. Step 5: Solve for x
    x = 108,468,710.62/9,794.89
  6. Step 6: Final answer
    x = 11,074.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.