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Finding the Fourth Proportional to 6,000.10, 9,002.85 and 2,107.30

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Solution

The fourth proportional to 6,000.10, 9,002.85 and 2,107.30 is: 3,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.10 : 9,002.85 = 2,107.30 : x
  2. Step 2: Convert to fraction form
    6,000.10/9,002.85 = 2,107.30/x
  3. Step 3: Cross multiply
    6,000.10x = 9,002.85 × 2,107.30
  4. Step 4: Simplify right side
    6,000.10x = 18,971,705.81
  5. Step 5: Solve for x
    x = 18,971,705.81/6,000.10
  6. Step 6: Final answer
    x = 3,161.90

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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.