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Finding the Fourth Proportional to 6,166.13, 8,509.25 and 4,306.37

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Solution

The fourth proportional to 6,166.13, 8,509.25 and 4,306.37 is: 5,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 8,509.25 = 4,306.37 : x
  2. Step 2: Convert to fraction form
    6,166.13/8,509.25 = 4,306.37/x
  3. Step 3: Cross multiply
    6,166.13x = 8,509.25 × 4,306.37
  4. Step 4: Simplify right side
    6,166.13x = 36,643,947.14
  5. Step 5: Solve for x
    x = 36,643,947.14/6,166.13
  6. Step 6: Final answer
    x = 5,942.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.