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Finding the Fourth Proportional to 9,219.70, 13,824.69 and 4,019.50

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Solution

The fourth proportional to 9,219.70, 13,824.69 and 4,019.50 is: 6,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.70 : 13,824.69 = 4,019.50 : x
  2. Step 2: Convert to fraction form
    9,219.70/13,824.69 = 4,019.50/x
  3. Step 3: Cross multiply
    9,219.70x = 13,824.69 × 4,019.50
  4. Step 4: Simplify right side
    9,219.70x = 55,568,341.46
  5. Step 5: Solve for x
    x = 55,568,341.46/9,219.70
  6. Step 6: Final answer
    x = 6,027.13

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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.