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Finding the Fourth Proportional to 9,205.25, 13,807.85 and 2,965.14

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Solution

The fourth proportional to 9,205.25, 13,807.85 and 2,965.14 is: 4,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.25 : 13,807.85 = 2,965.14 : x
  2. Step 2: Convert to fraction form
    9,205.25/13,807.85 = 2,965.14/x
  3. Step 3: Cross multiply
    9,205.25x = 13,807.85 × 2,965.14
  4. Step 4: Simplify right side
    9,205.25x = 40,942,193.52
  5. Step 5: Solve for x
    x = 40,942,193.52/9,205.25
  6. Step 6: Final answer
    x = 4,447.70

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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.