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Finding the Fourth Proportional to 6,677.56, 9,216.12 and 6,382.27

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Solution

The fourth proportional to 6,677.56, 9,216.12 and 6,382.27 is: 8,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.56 : 9,216.12 = 6,382.27 : x
  2. Step 2: Convert to fraction form
    6,677.56/9,216.12 = 6,382.27/x
  3. Step 3: Cross multiply
    6,677.56x = 9,216.12 × 6,382.27
  4. Step 4: Simplify right side
    6,677.56x = 58,819,766.19
  5. Step 5: Solve for x
    x = 58,819,766.19/6,677.56
  6. Step 6: Final answer
    x = 8,808.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.