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Finding the Fourth Proportional to 6,922, 9,552.36 and 4,438

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Solution

The fourth proportional to 6,922, 9,552.36 and 4,438 is: 6,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922 : 9,552.36 = 4,438 : x
  2. Step 2: Convert to fraction form
    6,922/9,552.36 = 4,438/x
  3. Step 3: Cross multiply
    6,922x = 9,552.36 × 4,438
  4. Step 4: Simplify right side
    6,922x = 42,393,373.68
  5. Step 5: Solve for x
    x = 42,393,373.68/6,922
  6. Step 6: Final answer
    x = 6,124.44

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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.