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Finding the Fourth Proportional to 7,006.69, 9,669.34 and 3,819.99

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Solution

The fourth proportional to 7,006.69, 9,669.34 and 3,819.99 is: 5,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.69 : 9,669.34 = 3,819.99 : x
  2. Step 2: Convert to fraction form
    7,006.69/9,669.34 = 3,819.99/x
  3. Step 3: Cross multiply
    7,006.69x = 9,669.34 × 3,819.99
  4. Step 4: Simplify right side
    7,006.69x = 36,936,714.66
  5. Step 5: Solve for x
    x = 36,936,714.66/7,006.69
  6. Step 6: Final answer
    x = 5,271.64

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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.