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Finding the Fourth Proportional to 6,450.30, 9,658.08 and 3,365.82

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Solution

The fourth proportional to 6,450.30, 9,658.08 and 3,365.82 is: 5,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.30 : 9,658.08 = 3,365.82 : x
  2. Step 2: Convert to fraction form
    6,450.30/9,658.08 = 3,365.82/x
  3. Step 3: Cross multiply
    6,450.30x = 9,658.08 × 3,365.82
  4. Step 4: Simplify right side
    6,450.30x = 32,507,358.83
  5. Step 5: Solve for x
    x = 32,507,358.83/6,450.30
  6. Step 6: Final answer
    x = 5,039.67

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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.