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Finding the Fourth Proportional to 6,448.96, 9,674.29 and 2,064.88

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Solution

The fourth proportional to 6,448.96, 9,674.29 and 2,064.88 is: 3,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.96 : 9,674.29 = 2,064.88 : x
  2. Step 2: Convert to fraction form
    6,448.96/9,674.29 = 2,064.88/x
  3. Step 3: Cross multiply
    6,448.96x = 9,674.29 × 2,064.88
  4. Step 4: Simplify right side
    6,448.96x = 19,976,247.94
  5. Step 5: Solve for x
    x = 19,976,247.94/6,448.96
  6. Step 6: Final answer
    x = 3,097.59

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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.