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Finding the Fourth Proportional to 9,049.69, 13,595.33 and 6,423.72

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Solution

The fourth proportional to 9,049.69, 13,595.33 and 6,423.72 is: 9,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.69 : 13,595.33 = 6,423.72 : x
  2. Step 2: Convert to fraction form
    9,049.69/13,595.33 = 6,423.72/x
  3. Step 3: Cross multiply
    9,049.69x = 13,595.33 × 6,423.72
  4. Step 4: Simplify right side
    9,049.69x = 87,332,593.23
  5. Step 5: Solve for x
    x = 87,332,593.23/9,049.69
  6. Step 6: Final answer
    x = 9,650.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.