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Finding the Fourth Proportional to 6,978.34, 9,629.85 and 3,834.34

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Solution

The fourth proportional to 6,978.34, 9,629.85 and 3,834.34 is: 5,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.34 : 9,629.85 = 3,834.34 : x
  2. Step 2: Convert to fraction form
    6,978.34/9,629.85 = 3,834.34/x
  3. Step 3: Cross multiply
    6,978.34x = 9,629.85 × 3,834.34
  4. Step 4: Simplify right side
    6,978.34x = 36,924,119.05
  5. Step 5: Solve for x
    x = 36,924,119.05/6,978.34
  6. Step 6: Final answer
    x = 5,291.25

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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.