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Finding the Fourth Proportional to 6,346.38, 9,523.89 and 3,815.67

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Solution

The fourth proportional to 6,346.38, 9,523.89 and 3,815.67 is: 5,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.38 : 9,523.89 = 3,815.67 : x
  2. Step 2: Convert to fraction form
    6,346.38/9,523.89 = 3,815.67/x
  3. Step 3: Cross multiply
    6,346.38x = 9,523.89 × 3,815.67
  4. Step 4: Simplify right side
    6,346.38x = 36,339,954.66
  5. Step 5: Solve for x
    x = 36,339,954.66/6,346.38
  6. Step 6: Final answer
    x = 5,726.10

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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.