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Finding the Fourth Proportional to 8,265.65, 12,406.67 and 6,436.77

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Solution

The fourth proportional to 8,265.65, 12,406.67 and 6,436.77 is: 9,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.65 : 12,406.67 = 6,436.77 : x
  2. Step 2: Convert to fraction form
    8,265.65/12,406.67 = 6,436.77/x
  3. Step 3: Cross multiply
    8,265.65x = 12,406.67 × 6,436.77
  4. Step 4: Simplify right side
    8,265.65x = 79,858,849.07
  5. Step 5: Solve for x
    x = 79,858,849.07/8,265.65
  6. Step 6: Final answer
    x = 9,661.54

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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.