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Finding the Fourth Proportional to 6,346.07, 8,757.68 and 3,693.42

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Solution

The fourth proportional to 6,346.07, 8,757.68 and 3,693.42 is: 5,096.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.07 : 8,757.68 = 3,693.42 : x
  2. Step 2: Convert to fraction form
    6,346.07/8,757.68 = 3,693.42/x
  3. Step 3: Cross multiply
    6,346.07x = 8,757.68 × 3,693.42
  4. Step 4: Simplify right side
    6,346.07x = 32,345,790.47
  5. Step 5: Solve for x
    x = 32,345,790.47/6,346.07
  6. Step 6: Final answer
    x = 5,096.98

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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.