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Finding the Fourth Proportional to 6,361.62, 9,539.19 and 4,284.78

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Solution

The fourth proportional to 6,361.62, 9,539.19 and 4,284.78 is: 6,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.62 : 9,539.19 = 4,284.78 : x
  2. Step 2: Convert to fraction form
    6,361.62/9,539.19 = 4,284.78/x
  3. Step 3: Cross multiply
    6,361.62x = 9,539.19 × 4,284.78
  4. Step 4: Simplify right side
    6,361.62x = 40,873,330.53
  5. Step 5: Solve for x
    x = 40,873,330.53/6,361.62
  6. Step 6: Final answer
    x = 6,424.99

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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.