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Finding the Fourth Proportional to 6,620.68, 9,136.20 and 3,826

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Solution

The fourth proportional to 6,620.68, 9,136.20 and 3,826 is: 5,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.68 : 9,136.20 = 3,826 : x
  2. Step 2: Convert to fraction form
    6,620.68/9,136.20 = 3,826/x
  3. Step 3: Cross multiply
    6,620.68x = 9,136.20 × 3,826
  4. Step 4: Simplify right side
    6,620.68x = 34,955,101.20
  5. Step 5: Solve for x
    x = 34,955,101.20/6,620.68
  6. Step 6: Final answer
    x = 5,279.68

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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.