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Finding the Fourth Proportional to 6,380.81, 9,557.37 and 3,087.00

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Solution

The fourth proportional to 6,380.81, 9,557.37 and 3,087.00 is: 4,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.81 : 9,557.37 = 3,087.00 : x
  2. Step 2: Convert to fraction form
    6,380.81/9,557.37 = 3,087.00/x
  3. Step 3: Cross multiply
    6,380.81x = 9,557.37 × 3,087.00
  4. Step 4: Simplify right side
    6,380.81x = 29,503,561.86
  5. Step 5: Solve for x
    x = 29,503,561.86/6,380.81
  6. Step 6: Final answer
    x = 4,623.79

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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.