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Finding the Fourth Proportional to 6,993.84, 9,651.42 and 3,849.96

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Solution

The fourth proportional to 6,993.84, 9,651.42 and 3,849.96 is: 5,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.84 : 9,651.42 = 3,849.96 : x
  2. Step 2: Convert to fraction form
    6,993.84/9,651.42 = 3,849.96/x
  3. Step 3: Cross multiply
    6,993.84x = 9,651.42 × 3,849.96
  4. Step 4: Simplify right side
    6,993.84x = 37,157,580.94
  5. Step 5: Solve for x
    x = 37,157,580.94/6,993.84
  6. Step 6: Final answer
    x = 5,312.90

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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.