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Finding the Fourth Proportional to 7,072.72, 9,760.32 and 3,842.51

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Solution

The fourth proportional to 7,072.72, 9,760.32 and 3,842.51 is: 5,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.72 : 9,760.32 = 3,842.51 : x
  2. Step 2: Convert to fraction form
    7,072.72/9,760.32 = 3,842.51/x
  3. Step 3: Cross multiply
    7,072.72x = 9,760.32 × 3,842.51
  4. Step 4: Simplify right side
    7,072.72x = 37,504,137.19
  5. Step 5: Solve for x
    x = 37,504,137.19/7,072.72
  6. Step 6: Final answer
    x = 5,302.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.