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Finding the Fourth Proportional to 6,135.84, 9,205.08 and 2,240.28

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Solution

The fourth proportional to 6,135.84, 9,205.08 and 2,240.28 is: 3,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.84 : 9,205.08 = 2,240.28 : x
  2. Step 2: Convert to fraction form
    6,135.84/9,205.08 = 2,240.28/x
  3. Step 3: Cross multiply
    6,135.84x = 9,205.08 × 2,240.28
  4. Step 4: Simplify right side
    6,135.84x = 20,621,956.62
  5. Step 5: Solve for x
    x = 20,621,956.62/6,135.84
  6. Step 6: Final answer
    x = 3,360.90

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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.