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Finding the Fourth Proportional to 9,136.94, 13,701.08 and 4,205.12

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Solution

The fourth proportional to 9,136.94, 13,701.08 and 4,205.12 is: 6,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.94 : 13,701.08 = 4,205.12 : x
  2. Step 2: Convert to fraction form
    9,136.94/13,701.08 = 4,205.12/x
  3. Step 3: Cross multiply
    9,136.94x = 13,701.08 × 4,205.12
  4. Step 4: Simplify right side
    9,136.94x = 57,614,627.54
  5. Step 5: Solve for x
    x = 57,614,627.54/9,136.94
  6. Step 6: Final answer
    x = 6,305.68

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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.