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Finding the Fourth Proportional to 9,470.72, 13,067.87 and 5,491.28

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Solution

The fourth proportional to 9,470.72, 13,067.87 and 5,491.28 is: 7,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.72 : 13,067.87 = 5,491.28 : x
  2. Step 2: Convert to fraction form
    9,470.72/13,067.87 = 5,491.28/x
  3. Step 3: Cross multiply
    9,470.72x = 13,067.87 × 5,491.28
  4. Step 4: Simplify right side
    9,470.72x = 71,759,240.38
  5. Step 5: Solve for x
    x = 71,759,240.38/9,470.72
  6. Step 6: Final answer
    x = 7,576.96

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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.