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Finding the Fourth Proportional to 6,057.82, 9,093.21 and 4,917.34

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Solution

The fourth proportional to 6,057.82, 9,093.21 and 4,917.34 is: 7,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.82 : 9,093.21 = 4,917.34 : x
  2. Step 2: Convert to fraction form
    6,057.82/9,093.21 = 4,917.34/x
  3. Step 3: Cross multiply
    6,057.82x = 9,093.21 × 4,917.34
  4. Step 4: Simplify right side
    6,057.82x = 44,714,405.26
  5. Step 5: Solve for x
    x = 44,714,405.26/6,057.82
  6. Step 6: Final answer
    x = 7,381.27

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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.