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Finding the Fourth Proportional to 9,443.36, 13,032 and 5,194.60

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Solution

The fourth proportional to 9,443.36, 13,032 and 5,194.60 is: 7,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.36 : 13,032 = 5,194.60 : x
  2. Step 2: Convert to fraction form
    9,443.36/13,032 = 5,194.60/x
  3. Step 3: Cross multiply
    9,443.36x = 13,032 × 5,194.60
  4. Step 4: Simplify right side
    9,443.36x = 67,696,027.20
  5. Step 5: Solve for x
    x = 67,696,027.20/9,443.36
  6. Step 6: Final answer
    x = 7,168.64

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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.