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Finding the Fourth Proportional to 6,296.40, 9,436.50 and 2,601.22

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Solution

The fourth proportional to 6,296.40, 9,436.50 and 2,601.22 is: 3,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.40 : 9,436.50 = 2,601.22 : x
  2. Step 2: Convert to fraction form
    6,296.40/9,436.50 = 2,601.22/x
  3. Step 3: Cross multiply
    6,296.40x = 9,436.50 × 2,601.22
  4. Step 4: Simplify right side
    6,296.40x = 24,546,412.53
  5. Step 5: Solve for x
    x = 24,546,412.53/6,296.40
  6. Step 6: Final answer
    x = 3,898.48

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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.