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Finding the Fourth Proportional to 6,074.70, 9,107.38 and 2,785.42

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Solution

The fourth proportional to 6,074.70, 9,107.38 and 2,785.42 is: 4,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.70 : 9,107.38 = 2,785.42 : x
  2. Step 2: Convert to fraction form
    6,074.70/9,107.38 = 2,785.42/x
  3. Step 3: Cross multiply
    6,074.70x = 9,107.38 × 2,785.42
  4. Step 4: Simplify right side
    6,074.70x = 25,367,878.40
  5. Step 5: Solve for x
    x = 25,367,878.40/6,074.70
  6. Step 6: Final answer
    x = 4,175.99

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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.