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Finding the Fourth Proportional to 6,104.35, 9,159.09 and 3,917.35

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Solution

The fourth proportional to 6,104.35, 9,159.09 and 3,917.35 is: 5,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.35 : 9,159.09 = 3,917.35 : x
  2. Step 2: Convert to fraction form
    6,104.35/9,159.09 = 3,917.35/x
  3. Step 3: Cross multiply
    6,104.35x = 9,159.09 × 3,917.35
  4. Step 4: Simplify right side
    6,104.35x = 35,879,361.21
  5. Step 5: Solve for x
    x = 35,879,361.21/6,104.35
  6. Step 6: Final answer
    x = 5,877.67

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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.