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Finding the Fourth Proportional to 6,354.06, 8,765.73 and 3,835.37

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Solution

The fourth proportional to 6,354.06, 8,765.73 and 3,835.37 is: 5,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.06 : 8,765.73 = 3,835.37 : x
  2. Step 2: Convert to fraction form
    6,354.06/8,765.73 = 3,835.37/x
  3. Step 3: Cross multiply
    6,354.06x = 8,765.73 × 3,835.37
  4. Step 4: Simplify right side
    6,354.06x = 33,619,817.87
  5. Step 5: Solve for x
    x = 33,619,817.87/6,354.06
  6. Step 6: Final answer
    x = 5,291.08

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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.