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Finding the Fourth Proportional to 6,233.85, 9,354.83 and 3,314.20

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Solution

The fourth proportional to 6,233.85, 9,354.83 and 3,314.20 is: 4,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.85 : 9,354.83 = 3,314.20 : x
  2. Step 2: Convert to fraction form
    6,233.85/9,354.83 = 3,314.20/x
  3. Step 3: Cross multiply
    6,233.85x = 9,354.83 × 3,314.20
  4. Step 4: Simplify right side
    6,233.85x = 31,003,777.59
  5. Step 5: Solve for x
    x = 31,003,777.59/6,233.85
  6. Step 6: Final answer
    x = 4,973.46

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