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Finding the Fourth Proportional to 6,005.12, 8,999.72 and 3,193.37

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Solution

The fourth proportional to 6,005.12, 8,999.72 and 3,193.37 is: 4,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.12 : 8,999.72 = 3,193.37 : x
  2. Step 2: Convert to fraction form
    6,005.12/8,999.72 = 3,193.37/x
  3. Step 3: Cross multiply
    6,005.12x = 8,999.72 × 3,193.37
  4. Step 4: Simplify right side
    6,005.12x = 28,739,419.89
  5. Step 5: Solve for x
    x = 28,739,419.89/6,005.12
  6. Step 6: Final answer
    x = 4,785.82

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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.