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Finding the Fourth Proportional to 9,122.64, 13,662.23 and 5,825.52

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Solution

The fourth proportional to 9,122.64, 13,662.23 and 5,825.52 is: 8,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.64 : 13,662.23 = 5,825.52 : x
  2. Step 2: Convert to fraction form
    9,122.64/13,662.23 = 5,825.52/x
  3. Step 3: Cross multiply
    9,122.64x = 13,662.23 × 5,825.52
  4. Step 4: Simplify right side
    9,122.64x = 79,589,540.36
  5. Step 5: Solve for x
    x = 79,589,540.36/9,122.64
  6. Step 6: Final answer
    x = 8,724.40

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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.