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Finding the Fourth Proportional to 9,640.41, 14,460.75 and 3,072.12

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Solution

The fourth proportional to 9,640.41, 14,460.75 and 3,072.12 is: 4,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.41 : 14,460.75 = 3,072.12 : x
  2. Step 2: Convert to fraction form
    9,640.41/14,460.75 = 3,072.12/x
  3. Step 3: Cross multiply
    9,640.41x = 14,460.75 × 3,072.12
  4. Step 4: Simplify right side
    9,640.41x = 44,425,159.29
  5. Step 5: Solve for x
    x = 44,425,159.29/9,640.41
  6. Step 6: Final answer
    x = 4,608.22

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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.