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Finding the Fourth Proportional to 9,858.69, 14,789.05 and 3,194.69

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Solution

The fourth proportional to 9,858.69, 14,789.05 and 3,194.69 is: 4,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.69 : 14,789.05 = 3,194.69 : x
  2. Step 2: Convert to fraction form
    9,858.69/14,789.05 = 3,194.69/x
  3. Step 3: Cross multiply
    9,858.69x = 14,789.05 × 3,194.69
  4. Step 4: Simplify right side
    9,858.69x = 47,246,348.21
  5. Step 5: Solve for x
    x = 47,246,348.21/9,858.69
  6. Step 6: Final answer
    x = 4,792.36

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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.