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Finding the Fourth Proportional to 9,128.34, 12,596.04 and 5,149.23

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Solution

The fourth proportional to 9,128.34, 12,596.04 and 5,149.23 is: 7,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.34 : 12,596.04 = 5,149.23 : x
  2. Step 2: Convert to fraction form
    9,128.34/12,596.04 = 5,149.23/x
  3. Step 3: Cross multiply
    9,128.34x = 12,596.04 × 5,149.23
  4. Step 4: Simplify right side
    9,128.34x = 64,859,907.05
  5. Step 5: Solve for x
    x = 64,859,907.05/9,128.34
  6. Step 6: Final answer
    x = 7,105.33

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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.