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Finding the Fourth Proportional to 6,381.70, 9,556.14 and 3,909.03

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Solution

The fourth proportional to 6,381.70, 9,556.14 and 3,909.03 is: 5,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.70 : 9,556.14 = 3,909.03 : x
  2. Step 2: Convert to fraction form
    6,381.70/9,556.14 = 3,909.03/x
  3. Step 3: Cross multiply
    6,381.70x = 9,556.14 × 3,909.03
  4. Step 4: Simplify right side
    6,381.70x = 37,355,216.77
  5. Step 5: Solve for x
    x = 37,355,216.77/6,381.70
  6. Step 6: Final answer
    x = 5,853.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.