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Finding the Fourth Proportional to 9,136.77, 13,706.59 and 3,871.80

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Solution

The fourth proportional to 9,136.77, 13,706.59 and 3,871.80 is: 5,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.77 : 13,706.59 = 3,871.80 : x
  2. Step 2: Convert to fraction form
    9,136.77/13,706.59 = 3,871.80/x
  3. Step 3: Cross multiply
    9,136.77x = 13,706.59 × 3,871.80
  4. Step 4: Simplify right side
    9,136.77x = 53,069,175.16
  5. Step 5: Solve for x
    x = 53,069,175.16/9,136.77
  6. Step 6: Final answer
    x = 5,808.31

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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.