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Finding the Fourth Proportional to 6,166.12, 9,265.92 and 3,245.80

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Solution

The fourth proportional to 6,166.12, 9,265.92 and 3,245.80 is: 4,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.12 : 9,265.92 = 3,245.80 : x
  2. Step 2: Convert to fraction form
    6,166.12/9,265.92 = 3,245.80/x
  3. Step 3: Cross multiply
    6,166.12x = 9,265.92 × 3,245.80
  4. Step 4: Simplify right side
    6,166.12x = 30,075,323.14
  5. Step 5: Solve for x
    x = 30,075,323.14/6,166.12
  6. Step 6: Final answer
    x = 4,877.51

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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.