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Finding the Fourth Proportional to 9,285.94, 13,934.31 and 3,739.78

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Solution

The fourth proportional to 9,285.94, 13,934.31 and 3,739.78 is: 5,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.94 : 13,934.31 = 3,739.78 : x
  2. Step 2: Convert to fraction form
    9,285.94/13,934.31 = 3,739.78/x
  3. Step 3: Cross multiply
    9,285.94x = 13,934.31 × 3,739.78
  4. Step 4: Simplify right side
    9,285.94x = 52,111,253.85
  5. Step 5: Solve for x
    x = 52,111,253.85/9,285.94
  6. Step 6: Final answer
    x = 5,611.84

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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.