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Finding the Fourth Proportional to 6,445.40, 9,669.09 and 2,747.63

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Solution

The fourth proportional to 6,445.40, 9,669.09 and 2,747.63 is: 4,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.40 : 9,669.09 = 2,747.63 : x
  2. Step 2: Convert to fraction form
    6,445.40/9,669.09 = 2,747.63/x
  3. Step 3: Cross multiply
    6,445.40x = 9,669.09 × 2,747.63
  4. Step 4: Simplify right side
    6,445.40x = 26,567,033.41
  5. Step 5: Solve for x
    x = 26,567,033.41/6,445.40
  6. Step 6: Final answer
    x = 4,121.86

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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.