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Finding the Fourth Proportional to 6,349.44, 9,526.85 and 3,424.33

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Solution

The fourth proportional to 6,349.44, 9,526.85 and 3,424.33 is: 5,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.44 : 9,526.85 = 3,424.33 : x
  2. Step 2: Convert to fraction form
    6,349.44/9,526.85 = 3,424.33/x
  3. Step 3: Cross multiply
    6,349.44x = 9,526.85 × 3,424.33
  4. Step 4: Simplify right side
    6,349.44x = 32,623,078.26
  5. Step 5: Solve for x
    x = 32,623,078.26/6,349.44
  6. Step 6: Final answer
    x = 5,137.95

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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.