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Finding the Fourth Proportional to 6,376.96, 9,561.74 and 2,476.84

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Solution

The fourth proportional to 6,376.96, 9,561.74 and 2,476.84 is: 3,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.96 : 9,561.74 = 2,476.84 : x
  2. Step 2: Convert to fraction form
    6,376.96/9,561.74 = 2,476.84/x
  3. Step 3: Cross multiply
    6,376.96x = 9,561.74 × 2,476.84
  4. Step 4: Simplify right side
    6,376.96x = 23,682,900.10
  5. Step 5: Solve for x
    x = 23,682,900.10/6,376.96
  6. Step 6: Final answer
    x = 3,713.82

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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.