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Finding the Fourth Proportional to 9,136.59, 13,706.31 and 3,871.61

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Solution

The fourth proportional to 9,136.59, 13,706.31 and 3,871.61 is: 5,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.59 : 13,706.31 = 3,871.61 : x
  2. Step 2: Convert to fraction form
    9,136.59/13,706.31 = 3,871.61/x
  3. Step 3: Cross multiply
    9,136.59x = 13,706.31 × 3,871.61
  4. Step 4: Simplify right side
    9,136.59x = 53,065,486.86
  5. Step 5: Solve for x
    x = 53,065,486.86/9,136.59
  6. Step 6: Final answer
    x = 5,808.02

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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.