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Finding the Fourth Proportional to 9,196.44, 12,704 and 8,201.40

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Solution

The fourth proportional to 9,196.44, 12,704 and 8,201.40 is: 11,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.44 : 12,704 = 8,201.40 : x
  2. Step 2: Convert to fraction form
    9,196.44/12,704 = 8,201.40/x
  3. Step 3: Cross multiply
    9,196.44x = 12,704 × 8,201.40
  4. Step 4: Simplify right side
    9,196.44x = 104,190,585.60
  5. Step 5: Solve for x
    x = 104,190,585.60/9,196.44
  6. Step 6: Final answer
    x = 11,329.45

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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.