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Finding the Fourth Proportional to 6,462.09, 9,693.09 and 2,079.90

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Solution

The fourth proportional to 6,462.09, 9,693.09 and 2,079.90 is: 3,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.09 : 9,693.09 = 2,079.90 : x
  2. Step 2: Convert to fraction form
    6,462.09/9,693.09 = 2,079.90/x
  3. Step 3: Cross multiply
    6,462.09x = 9,693.09 × 2,079.90
  4. Step 4: Simplify right side
    6,462.09x = 20,160,657.89
  5. Step 5: Solve for x
    x = 20,160,657.89/6,462.09
  6. Step 6: Final answer
    x = 3,119.84

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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.