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Finding the Fourth Proportional to 8,434.62, 12,645.36 and 5,466.78

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Solution

The fourth proportional to 8,434.62, 12,645.36 and 5,466.78 is: 8,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.62 : 12,645.36 = 5,466.78 : x
  2. Step 2: Convert to fraction form
    8,434.62/12,645.36 = 5,466.78/x
  3. Step 3: Cross multiply
    8,434.62x = 12,645.36 × 5,466.78
  4. Step 4: Simplify right side
    8,434.62x = 69,129,401.14
  5. Step 5: Solve for x
    x = 69,129,401.14/8,434.62
  6. Step 6: Final answer
    x = 8,195.91

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