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Finding the Fourth Proportional to 8,136.01, 12,193.75 and 6,485.77

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Solution

The fourth proportional to 8,136.01, 12,193.75 and 6,485.77 is: 9,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.01 : 12,193.75 = 6,485.77 : x
  2. Step 2: Convert to fraction form
    8,136.01/12,193.75 = 6,485.77/x
  3. Step 3: Cross multiply
    8,136.01x = 12,193.75 × 6,485.77
  4. Step 4: Simplify right side
    8,136.01x = 79,085,857.94
  5. Step 5: Solve for x
    x = 79,085,857.94/8,136.01
  6. Step 6: Final answer
    x = 9,720.47

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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.