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Finding the Fourth Proportional to 6,137.80, 9,199.36 and 3,535.36

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Solution

The fourth proportional to 6,137.80, 9,199.36 and 3,535.36 is: 5,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.80 : 9,199.36 = 3,535.36 : x
  2. Step 2: Convert to fraction form
    6,137.80/9,199.36 = 3,535.36/x
  3. Step 3: Cross multiply
    6,137.80x = 9,199.36 × 3,535.36
  4. Step 4: Simplify right side
    6,137.80x = 32,523,049.37
  5. Step 5: Solve for x
    x = 32,523,049.37/6,137.80
  6. Step 6: Final answer
    x = 5,298.81

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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.