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Finding the Fourth Proportional to 9,194.16, 12,662.04 and 9,165.36

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Solution

The fourth proportional to 9,194.16, 12,662.04 and 9,165.36 is: 12,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.16 : 12,662.04 = 9,165.36 : x
  2. Step 2: Convert to fraction form
    9,194.16/12,662.04 = 9,165.36/x
  3. Step 3: Cross multiply
    9,194.16x = 12,662.04 × 9,165.36
  4. Step 4: Simplify right side
    9,194.16x = 116,052,154.93
  5. Step 5: Solve for x
    x = 116,052,154.93/9,194.16
  6. Step 6: Final answer
    x = 12,622.38

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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.