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Finding the Fourth Proportional to 6,500.86, 9,751.29 and 2,118.66

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Solution

The fourth proportional to 6,500.86, 9,751.29 and 2,118.66 is: 3,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.86 : 9,751.29 = 2,118.66 : x
  2. Step 2: Convert to fraction form
    6,500.86/9,751.29 = 2,118.66/x
  3. Step 3: Cross multiply
    6,500.86x = 9,751.29 × 2,118.66
  4. Step 4: Simplify right side
    6,500.86x = 20,659,623.56
  5. Step 5: Solve for x
    x = 20,659,623.56/6,500.86
  6. Step 6: Final answer
    x = 3,177.98

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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.