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Finding the Fourth Proportional to 6,477.80, 9,716.31 and 2,530.94

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Solution

The fourth proportional to 6,477.80, 9,716.31 and 2,530.94 is: 3,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.80 : 9,716.31 = 2,530.94 : x
  2. Step 2: Convert to fraction form
    6,477.80/9,716.31 = 2,530.94/x
  3. Step 3: Cross multiply
    6,477.80x = 9,716.31 × 2,530.94
  4. Step 4: Simplify right side
    6,477.80x = 24,591,349.05
  5. Step 5: Solve for x
    x = 24,591,349.05/6,477.80
  6. Step 6: Final answer
    x = 3,796.25

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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.