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Finding the Fourth Proportional to 6,235.27, 9,354.30 and 2,074.93

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Solution

The fourth proportional to 6,235.27, 9,354.30 and 2,074.93 is: 3,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.27 : 9,354.30 = 2,074.93 : x
  2. Step 2: Convert to fraction form
    6,235.27/9,354.30 = 2,074.93/x
  3. Step 3: Cross multiply
    6,235.27x = 9,354.30 × 2,074.93
  4. Step 4: Simplify right side
    6,235.27x = 19,409,517.70
  5. Step 5: Solve for x
    x = 19,409,517.70/6,235.27
  6. Step 6: Final answer
    x = 3,112.86

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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.