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Finding the Fourth Proportional to 9,646.46, 14,469.53 and 3,072.56

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Solution

The fourth proportional to 9,646.46, 14,469.53 and 3,072.56 is: 4,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.46 : 14,469.53 = 3,072.56 : x
  2. Step 2: Convert to fraction form
    9,646.46/14,469.53 = 3,072.56/x
  3. Step 3: Cross multiply
    9,646.46x = 14,469.53 × 3,072.56
  4. Step 4: Simplify right side
    9,646.46x = 44,458,411.39
  5. Step 5: Solve for x
    x = 44,458,411.39/9,646.46
  6. Step 6: Final answer
    x = 4,608.78

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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.