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Finding the Fourth Proportional to 9,224.76, 13,837.62 and 3,069.24

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Solution

The fourth proportional to 9,224.76, 13,837.62 and 3,069.24 is: 4,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.76 : 13,837.62 = 3,069.24 : x
  2. Step 2: Convert to fraction form
    9,224.76/13,837.62 = 3,069.24/x
  3. Step 3: Cross multiply
    9,224.76x = 13,837.62 × 3,069.24
  4. Step 4: Simplify right side
    9,224.76x = 42,470,976.81
  5. Step 5: Solve for x
    x = 42,470,976.81/9,224.76
  6. Step 6: Final answer
    x = 4,604.02

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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.