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Finding the Fourth Proportional to 6,072.60, 9,108.90 and 4,005.78

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Solution

The fourth proportional to 6,072.60, 9,108.90 and 4,005.78 is: 6,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.60 : 9,108.90 = 4,005.78 : x
  2. Step 2: Convert to fraction form
    6,072.60/9,108.90 = 4,005.78/x
  3. Step 3: Cross multiply
    6,072.60x = 9,108.90 × 4,005.78
  4. Step 4: Simplify right side
    6,072.60x = 36,488,249.44
  5. Step 5: Solve for x
    x = 36,488,249.44/6,072.60
  6. Step 6: Final answer
    x = 6,008.67

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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.