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Finding the Fourth Proportional to 9,721.54, 13,415.03 and 5,472.38

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Solution

The fourth proportional to 9,721.54, 13,415.03 and 5,472.38 is: 7,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.54 : 13,415.03 = 5,472.38 : x
  2. Step 2: Convert to fraction form
    9,721.54/13,415.03 = 5,472.38/x
  3. Step 3: Cross multiply
    9,721.54x = 13,415.03 × 5,472.38
  4. Step 4: Simplify right side
    9,721.54x = 73,412,168.57
  5. Step 5: Solve for x
    x = 73,412,168.57/9,721.54
  6. Step 6: Final answer
    x = 7,551.49

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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.