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Finding the Fourth Proportional to 6,349.68, 9,523.86 and 1,967.18

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Solution

The fourth proportional to 6,349.68, 9,523.86 and 1,967.18 is: 2,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.68 : 9,523.86 = 1,967.18 : x
  2. Step 2: Convert to fraction form
    6,349.68/9,523.86 = 1,967.18/x
  3. Step 3: Cross multiply
    6,349.68x = 9,523.86 × 1,967.18
  4. Step 4: Simplify right side
    6,349.68x = 18,735,102.98
  5. Step 5: Solve for x
    x = 18,735,102.98/6,349.68
  6. Step 6: Final answer
    x = 2,950.56

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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.