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Finding the Fourth Proportional to 6,820.82, 9,412.77 and 4,027.70

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Solution

The fourth proportional to 6,820.82, 9,412.77 and 4,027.70 is: 5,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.82 : 9,412.77 = 4,027.70 : x
  2. Step 2: Convert to fraction form
    6,820.82/9,412.77 = 4,027.70/x
  3. Step 3: Cross multiply
    6,820.82x = 9,412.77 × 4,027.70
  4. Step 4: Simplify right side
    6,820.82x = 37,911,813.73
  5. Step 5: Solve for x
    x = 37,911,813.73/6,820.82
  6. Step 6: Final answer
    x = 5,558.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.