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Finding the Fourth Proportional to 6,000.93, 9,002.61 and 2,105.64

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Solution

The fourth proportional to 6,000.93, 9,002.61 and 2,105.64 is: 3,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.93 : 9,002.61 = 2,105.64 : x
  2. Step 2: Convert to fraction form
    6,000.93/9,002.61 = 2,105.64/x
  3. Step 3: Cross multiply
    6,000.93x = 9,002.61 × 2,105.64
  4. Step 4: Simplify right side
    6,000.93x = 18,956,255.72
  5. Step 5: Solve for x
    x = 18,956,255.72/6,000.93
  6. Step 6: Final answer
    x = 3,158.89

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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.