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Finding the Fourth Proportional to 6,209.49, 9,315.16 and 2,049.94

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Solution

The fourth proportional to 6,209.49, 9,315.16 and 2,049.94 is: 3,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.49 : 9,315.16 = 2,049.94 : x
  2. Step 2: Convert to fraction form
    6,209.49/9,315.16 = 2,049.94/x
  3. Step 3: Cross multiply
    6,209.49x = 9,315.16 × 2,049.94
  4. Step 4: Simplify right side
    6,209.49x = 19,095,505.18
  5. Step 5: Solve for x
    x = 19,095,505.18/6,209.49
  6. Step 6: Final answer
    x = 3,075.21

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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.