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Finding the Fourth Proportional to 9,644.85, 14,464.58 and 3,073.05

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Solution

The fourth proportional to 9,644.85, 14,464.58 and 3,073.05 is: 4,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.85 : 14,464.58 = 3,073.05 : x
  2. Step 2: Convert to fraction form
    9,644.85/14,464.58 = 3,073.05/x
  3. Step 3: Cross multiply
    9,644.85x = 14,464.58 × 3,073.05
  4. Step 4: Simplify right side
    9,644.85x = 44,450,362.20
  5. Step 5: Solve for x
    x = 44,450,362.20/9,644.85
  6. Step 6: Final answer
    x = 4,608.71

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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.