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Finding the Fourth Proportional to 9,269.38, 12,791.64 and 5,077.63

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Solution

The fourth proportional to 9,269.38, 12,791.64 and 5,077.63 is: 7,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.38 : 12,791.64 = 5,077.63 : x
  2. Step 2: Convert to fraction form
    9,269.38/12,791.64 = 5,077.63/x
  3. Step 3: Cross multiply
    9,269.38x = 12,791.64 × 5,077.63
  4. Step 4: Simplify right side
    9,269.38x = 64,951,215.01
  5. Step 5: Solve for x
    x = 64,951,215.01/9,269.38
  6. Step 6: Final answer
    x = 7,007.07

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Why These Related Problems?

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