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Finding the Fourth Proportional to 6,736.50, 9,296.64 and 3,752.46

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Solution

The fourth proportional to 6,736.50, 9,296.64 and 3,752.46 is: 5,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.50 : 9,296.64 = 3,752.46 : x
  2. Step 2: Convert to fraction form
    6,736.50/9,296.64 = 3,752.46/x
  3. Step 3: Cross multiply
    6,736.50x = 9,296.64 × 3,752.46
  4. Step 4: Simplify right side
    6,736.50x = 34,885,269.73
  5. Step 5: Solve for x
    x = 34,885,269.73/6,736.50
  6. Step 6: Final answer
    x = 5,178.55

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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.