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Finding the Fourth Proportional to 9,644.10, 14,463.45 and 3,072.30

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Solution

The fourth proportional to 9,644.10, 14,463.45 and 3,072.30 is: 4,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.10 : 14,463.45 = 3,072.30 : x
  2. Step 2: Convert to fraction form
    9,644.10/14,463.45 = 3,072.30/x
  3. Step 3: Cross multiply
    9,644.10x = 14,463.45 × 3,072.30
  4. Step 4: Simplify right side
    9,644.10x = 44,436,057.44
  5. Step 5: Solve for x
    x = 44,436,057.44/9,644.10
  6. Step 6: Final answer
    x = 4,607.59

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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.