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Finding the Fourth Proportional to 6,005.64, 9,008.46 and 2,109.15

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Solution

The fourth proportional to 6,005.64, 9,008.46 and 2,109.15 is: 3,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.64 : 9,008.46 = 2,109.15 : x
  2. Step 2: Convert to fraction form
    6,005.64/9,008.46 = 2,109.15/x
  3. Step 3: Cross multiply
    6,005.64x = 9,008.46 × 2,109.15
  4. Step 4: Simplify right side
    6,005.64x = 19,000,193.41
  5. Step 5: Solve for x
    x = 19,000,193.41/6,005.64
  6. Step 6: Final answer
    x = 3,163.73

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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.