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Finding the Fourth Proportional to 6,465.14, 9,698.69 and 3,300.85

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Solution

The fourth proportional to 6,465.14, 9,698.69 and 3,300.85 is: 4,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.14 : 9,698.69 = 3,300.85 : x
  2. Step 2: Convert to fraction form
    6,465.14/9,698.69 = 3,300.85/x
  3. Step 3: Cross multiply
    6,465.14x = 9,698.69 × 3,300.85
  4. Step 4: Simplify right side
    6,465.14x = 32,013,920.89
  5. Step 5: Solve for x
    x = 32,013,920.89/6,465.14
  6. Step 6: Final answer
    x = 4,951.78

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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.