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Finding the Fourth Proportional to 9,201.57, 12,696.78 and 5,168.24

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Solution

The fourth proportional to 9,201.57, 12,696.78 and 5,168.24 is: 7,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.57 : 12,696.78 = 5,168.24 : x
  2. Step 2: Convert to fraction form
    9,201.57/12,696.78 = 5,168.24/x
  3. Step 3: Cross multiply
    9,201.57x = 12,696.78 × 5,168.24
  4. Step 4: Simplify right side
    9,201.57x = 65,620,009.78
  5. Step 5: Solve for x
    x = 65,620,009.78/9,201.57
  6. Step 6: Final answer
    x = 7,131.40

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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.