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Finding the Fourth Proportional to 6,493.32, 9,737.70 and 2,109.66

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Solution

The fourth proportional to 6,493.32, 9,737.70 and 2,109.66 is: 3,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.32 : 9,737.70 = 2,109.66 : x
  2. Step 2: Convert to fraction form
    6,493.32/9,737.70 = 2,109.66/x
  3. Step 3: Cross multiply
    6,493.32x = 9,737.70 × 2,109.66
  4. Step 4: Simplify right side
    6,493.32x = 20,543,236.18
  5. Step 5: Solve for x
    x = 20,543,236.18/6,493.32
  6. Step 6: Final answer
    x = 3,163.75

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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.