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Finding the Fourth Proportional to 9,565.82, 14,340.09 and 3,408.38

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Solution

The fourth proportional to 9,565.82, 14,340.09 and 3,408.38 is: 5,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.82 : 14,340.09 = 3,408.38 : x
  2. Step 2: Convert to fraction form
    9,565.82/14,340.09 = 3,408.38/x
  3. Step 3: Cross multiply
    9,565.82x = 14,340.09 × 3,408.38
  4. Step 4: Simplify right side
    9,565.82x = 48,876,475.95
  5. Step 5: Solve for x
    x = 48,876,475.95/9,565.82
  6. Step 6: Final answer
    x = 5,109.49

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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.