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Finding the Fourth Proportional to 9,179.58, 12,668.97 and 5,201.98

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Solution

The fourth proportional to 9,179.58, 12,668.97 and 5,201.98 is: 7,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.58 : 12,668.97 = 5,201.98 : x
  2. Step 2: Convert to fraction form
    9,179.58/12,668.97 = 5,201.98/x
  3. Step 3: Cross multiply
    9,179.58x = 12,668.97 × 5,201.98
  4. Step 4: Simplify right side
    9,179.58x = 65,903,716.40
  5. Step 5: Solve for x
    x = 65,903,716.40/9,179.58
  6. Step 6: Final answer
    x = 7,179.38

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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.