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Finding the Fourth Proportional to 9,578.64, 14,361.03 and 6,450.90

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Solution

The fourth proportional to 9,578.64, 14,361.03 and 6,450.90 is: 9,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.64 : 14,361.03 = 6,450.90 : x
  2. Step 2: Convert to fraction form
    9,578.64/14,361.03 = 6,450.90/x
  3. Step 3: Cross multiply
    9,578.64x = 14,361.03 × 6,450.90
  4. Step 4: Simplify right side
    9,578.64x = 92,641,568.43
  5. Step 5: Solve for x
    x = 92,641,568.43/9,578.64
  6. Step 6: Final answer
    x = 9,671.68

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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.