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Finding the Fourth Proportional to 6,444.06, 9,674.25 and 5,361.66

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Solution

The fourth proportional to 6,444.06, 9,674.25 and 5,361.66 is: 8,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.06 : 9,674.25 = 5,361.66 : x
  2. Step 2: Convert to fraction form
    6,444.06/9,674.25 = 5,361.66/x
  3. Step 3: Cross multiply
    6,444.06x = 9,674.25 × 5,361.66
  4. Step 4: Simplify right side
    6,444.06x = 51,870,039.26
  5. Step 5: Solve for x
    x = 51,870,039.26/6,444.06
  6. Step 6: Final answer
    x = 8,049.28

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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.