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Finding the Fourth Proportional to 9,706.86, 14,561.01 and 3,136.14

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Solution

The fourth proportional to 9,706.86, 14,561.01 and 3,136.14 is: 4,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.86 : 14,561.01 = 3,136.14 : x
  2. Step 2: Convert to fraction form
    9,706.86/14,561.01 = 3,136.14/x
  3. Step 3: Cross multiply
    9,706.86x = 14,561.01 × 3,136.14
  4. Step 4: Simplify right side
    9,706.86x = 45,665,365.90
  5. Step 5: Solve for x
    x = 45,665,365.90/9,706.86
  6. Step 6: Final answer
    x = 4,704.44

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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.