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Finding the Fourth Proportional to 6,361.32, 9,544.04 and 3,074.78

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Solution

The fourth proportional to 6,361.32, 9,544.04 and 3,074.78 is: 4,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.32 : 9,544.04 = 3,074.78 : x
  2. Step 2: Convert to fraction form
    6,361.32/9,544.04 = 3,074.78/x
  3. Step 3: Cross multiply
    6,361.32x = 9,544.04 × 3,074.78
  4. Step 4: Simplify right side
    6,361.32x = 29,345,823.31
  5. Step 5: Solve for x
    x = 29,345,823.31/6,361.32
  6. Step 6: Final answer
    x = 4,613.17

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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.