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Finding the Fourth Proportional to 6,944.84, 9,583.51 and 3,800.42

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Solution

The fourth proportional to 6,944.84, 9,583.51 and 3,800.42 is: 5,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.84 : 9,583.51 = 3,800.42 : x
  2. Step 2: Convert to fraction form
    6,944.84/9,583.51 = 3,800.42/x
  3. Step 3: Cross multiply
    6,944.84x = 9,583.51 × 3,800.42
  4. Step 4: Simplify right side
    6,944.84x = 36,421,363.07
  5. Step 5: Solve for x
    x = 36,421,363.07/6,944.84
  6. Step 6: Final answer
    x = 5,244.38

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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.