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Finding the Fourth Proportional to 6,343.65, 9,509.72 and 2,450.97

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Solution

The fourth proportional to 6,343.65, 9,509.72 and 2,450.97 is: 3,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.65 : 9,509.72 = 2,450.97 : x
  2. Step 2: Convert to fraction form
    6,343.65/9,509.72 = 2,450.97/x
  3. Step 3: Cross multiply
    6,343.65x = 9,509.72 × 2,450.97
  4. Step 4: Simplify right side
    6,343.65x = 23,308,026.17
  5. Step 5: Solve for x
    x = 23,308,026.17/6,343.65
  6. Step 6: Final answer
    x = 3,674.23

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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.