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Finding the Fourth Proportional to 9,664.38, 13,336.84 and 5,472.63

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Solution

The fourth proportional to 9,664.38, 13,336.84 and 5,472.63 is: 7,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.38 : 13,336.84 = 5,472.63 : x
  2. Step 2: Convert to fraction form
    9,664.38/13,336.84 = 5,472.63/x
  3. Step 3: Cross multiply
    9,664.38x = 13,336.84 × 5,472.63
  4. Step 4: Simplify right side
    9,664.38x = 72,987,590.69
  5. Step 5: Solve for x
    x = 72,987,590.69/9,664.38
  6. Step 6: Final answer
    x = 7,552.23

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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.