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Finding the Fourth Proportional to 6,834.08, 9,430.34 and 3,849.84

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Solution

The fourth proportional to 6,834.08, 9,430.34 and 3,849.84 is: 5,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.08 : 9,430.34 = 3,849.84 : x
  2. Step 2: Convert to fraction form
    6,834.08/9,430.34 = 3,849.84/x
  3. Step 3: Cross multiply
    6,834.08x = 9,430.34 × 3,849.84
  4. Step 4: Simplify right side
    6,834.08x = 36,305,300.15
  5. Step 5: Solve for x
    x = 36,305,300.15/6,834.08
  6. Step 6: Final answer
    x = 5,312.39

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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.