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Finding the Fourth Proportional to 6,205.69, 9,309.69 and 2,045.87

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Solution

The fourth proportional to 6,205.69, 9,309.69 and 2,045.87 is: 3,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.69 : 9,309.69 = 2,045.87 : x
  2. Step 2: Convert to fraction form
    6,205.69/9,309.69 = 2,045.87/x
  3. Step 3: Cross multiply
    6,205.69x = 9,309.69 × 2,045.87
  4. Step 4: Simplify right side
    6,205.69x = 19,046,403.84
  5. Step 5: Solve for x
    x = 19,046,403.84/6,205.69
  6. Step 6: Final answer
    x = 3,069.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.