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Finding the Fourth Proportional to 6,346.31, 8,757.69 and 3,513.81

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Solution

The fourth proportional to 6,346.31, 8,757.69 and 3,513.81 is: 4,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.31 : 8,757.69 = 3,513.81 : x
  2. Step 2: Convert to fraction form
    6,346.31/8,757.69 = 3,513.81/x
  3. Step 3: Cross multiply
    6,346.31x = 8,757.69 × 3,513.81
  4. Step 4: Simplify right side
    6,346.31x = 30,772,858.70
  5. Step 5: Solve for x
    x = 30,772,858.70/6,346.31
  6. Step 6: Final answer
    x = 4,848.94

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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.