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Finding the Fourth Proportional to 9,686.93, 14,512.37 and 8,136.99

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Solution

The fourth proportional to 9,686.93, 14,512.37 and 8,136.99 is: 12,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.93 : 14,512.37 = 8,136.99 : x
  2. Step 2: Convert to fraction form
    9,686.93/14,512.37 = 8,136.99/x
  3. Step 3: Cross multiply
    9,686.93x = 14,512.37 × 8,136.99
  4. Step 4: Simplify right side
    9,686.93x = 118,086,968.88
  5. Step 5: Solve for x
    x = 118,086,968.88/9,686.93
  6. Step 6: Final answer
    x = 12,190.35

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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.