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Finding the Fourth Proportional to 9,136.80, 13,703.85 and 2,563.65

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Solution

The fourth proportional to 9,136.80, 13,703.85 and 2,563.65 is: 3,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.80 : 13,703.85 = 2,563.65 : x
  2. Step 2: Convert to fraction form
    9,136.80/13,703.85 = 2,563.65/x
  3. Step 3: Cross multiply
    9,136.80x = 13,703.85 × 2,563.65
  4. Step 4: Simplify right side
    9,136.80x = 35,131,875.05
  5. Step 5: Solve for x
    x = 35,131,875.05/9,136.80
  6. Step 6: Final answer
    x = 3,845.10

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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.