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Finding the Fourth Proportional to 9,201.66, 13,793.49 and 3,653.16

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Solution

The fourth proportional to 9,201.66, 13,793.49 and 3,653.16 is: 5,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.66 : 13,793.49 = 3,653.16 : x
  2. Step 2: Convert to fraction form
    9,201.66/13,793.49 = 3,653.16/x
  3. Step 3: Cross multiply
    9,201.66x = 13,793.49 × 3,653.16
  4. Step 4: Simplify right side
    9,201.66x = 50,389,825.93
  5. Step 5: Solve for x
    x = 50,389,825.93/9,201.66
  6. Step 6: Final answer
    x = 5,476.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.