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Finding the Fourth Proportional to 6,450.45, 9,675.90 and 2,068.17

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Solution

The fourth proportional to 6,450.45, 9,675.90 and 2,068.17 is: 3,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.45 : 9,675.90 = 2,068.17 : x
  2. Step 2: Convert to fraction form
    6,450.45/9,675.90 = 2,068.17/x
  3. Step 3: Cross multiply
    6,450.45x = 9,675.90 × 2,068.17
  4. Step 4: Simplify right side
    6,450.45x = 20,011,406.10
  5. Step 5: Solve for x
    x = 20,011,406.10/6,450.45
  6. Step 6: Final answer
    x = 3,102.33

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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.