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Finding the Fourth Proportional to 6,439.23, 9,675.05 and 4,100.22

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Solution

The fourth proportional to 6,439.23, 9,675.05 and 4,100.22 is: 6,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.23 : 9,675.05 = 4,100.22 : x
  2. Step 2: Convert to fraction form
    6,439.23/9,675.05 = 4,100.22/x
  3. Step 3: Cross multiply
    6,439.23x = 9,675.05 × 4,100.22
  4. Step 4: Simplify right side
    6,439.23x = 39,669,813.01
  5. Step 5: Solve for x
    x = 39,669,813.01/6,439.23
  6. Step 6: Final answer
    x = 6,160.65

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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.