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Finding the Fourth Proportional to 7,222.23, 9,964.42 and 4,238.19

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Solution

The fourth proportional to 7,222.23, 9,964.42 and 4,238.19 is: 5,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.23 : 9,964.42 = 4,238.19 : x
  2. Step 2: Convert to fraction form
    7,222.23/9,964.42 = 4,238.19/x
  3. Step 3: Cross multiply
    7,222.23x = 9,964.42 × 4,238.19
  4. Step 4: Simplify right side
    7,222.23x = 42,231,094.60
  5. Step 5: Solve for x
    x = 42,231,094.60/7,222.23
  6. Step 6: Final answer
    x = 5,847.38

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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.