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Finding the Fourth Proportional to 6,740.33, 9,299.09 and 4,086.77

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Solution

The fourth proportional to 6,740.33, 9,299.09 and 4,086.77 is: 5,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.33 : 9,299.09 = 4,086.77 : x
  2. Step 2: Convert to fraction form
    6,740.33/9,299.09 = 4,086.77/x
  3. Step 3: Cross multiply
    6,740.33x = 9,299.09 × 4,086.77
  4. Step 4: Simplify right side
    6,740.33x = 38,003,205.76
  5. Step 5: Solve for x
    x = 38,003,205.76/6,740.33
  6. Step 6: Final answer
    x = 5,638.19

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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.