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Finding the Fourth Proportional to 6,553.80, 9,813.27 and 4,477.86

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Solution

The fourth proportional to 6,553.80, 9,813.27 and 4,477.86 is: 6,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.80 : 9,813.27 = 4,477.86 : x
  2. Step 2: Convert to fraction form
    6,553.80/9,813.27 = 4,477.86/x
  3. Step 3: Cross multiply
    6,553.80x = 9,813.27 × 4,477.86
  4. Step 4: Simplify right side
    6,553.80x = 43,942,449.20
  5. Step 5: Solve for x
    x = 43,942,449.20/6,553.80
  6. Step 6: Final answer
    x = 6,704.88

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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.