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Finding the Fourth Proportional to 6,500.80, 9,750.21 and 2,118.25

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Solution

The fourth proportional to 6,500.80, 9,750.21 and 2,118.25 is: 3,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.80 : 9,750.21 = 2,118.25 : x
  2. Step 2: Convert to fraction form
    6,500.80/9,750.21 = 2,118.25/x
  3. Step 3: Cross multiply
    6,500.80x = 9,750.21 × 2,118.25
  4. Step 4: Simplify right side
    6,500.80x = 20,653,382.33
  5. Step 5: Solve for x
    x = 20,653,382.33/6,500.80
  6. Step 6: Final answer
    x = 3,177.05

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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.