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Finding the Fourth Proportional to 6,307.80, 9,463.25 and 2,147.77

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Solution

The fourth proportional to 6,307.80, 9,463.25 and 2,147.77 is: 3,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.80 : 9,463.25 = 2,147.77 : x
  2. Step 2: Convert to fraction form
    6,307.80/9,463.25 = 2,147.77/x
  3. Step 3: Cross multiply
    6,307.80x = 9,463.25 × 2,147.77
  4. Step 4: Simplify right side
    6,307.80x = 20,324,884.45
  5. Step 5: Solve for x
    x = 20,324,884.45/6,307.80
  6. Step 6: Final answer
    x = 3,222.18

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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.