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Finding the Fourth Proportional to 6,481.34, 8,943.55 and 3,648.66

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Solution

The fourth proportional to 6,481.34, 8,943.55 and 3,648.66 is: 5,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.34 : 8,943.55 = 3,648.66 : x
  2. Step 2: Convert to fraction form
    6,481.34/8,943.55 = 3,648.66/x
  3. Step 3: Cross multiply
    6,481.34x = 8,943.55 × 3,648.66
  4. Step 4: Simplify right side
    6,481.34x = 32,631,973.14
  5. Step 5: Solve for x
    x = 32,631,973.14/6,481.34
  6. Step 6: Final answer
    x = 5,034.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.