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Finding the Fourth Proportional to 6,518.88, 9,770.82 and 2,817.39

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Solution

The fourth proportional to 6,518.88, 9,770.82 and 2,817.39 is: 4,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.88 : 9,770.82 = 2,817.39 : x
  2. Step 2: Convert to fraction form
    6,518.88/9,770.82 = 2,817.39/x
  3. Step 3: Cross multiply
    6,518.88x = 9,770.82 × 2,817.39
  4. Step 4: Simplify right side
    6,518.88x = 27,528,210.56
  5. Step 5: Solve for x
    x = 27,528,210.56/6,518.88
  6. Step 6: Final answer
    x = 4,222.84

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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.