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Finding the Fourth Proportional to 6,445.34, 9,671.73 and 3,483.80

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Solution

The fourth proportional to 6,445.34, 9,671.73 and 3,483.80 is: 5,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.34 : 9,671.73 = 3,483.80 : x
  2. Step 2: Convert to fraction form
    6,445.34/9,671.73 = 3,483.80/x
  3. Step 3: Cross multiply
    6,445.34x = 9,671.73 × 3,483.80
  4. Step 4: Simplify right side
    6,445.34x = 33,694,324.62
  5. Step 5: Solve for x
    x = 33,694,324.62/6,445.34
  6. Step 6: Final answer
    x = 5,227.71

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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.