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Finding the Fourth Proportional to 9,144.01, 13,636.09 and 8,136.01

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Solution

The fourth proportional to 9,144.01, 13,636.09 and 8,136.01 is: 12,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.01 : 13,636.09 = 8,136.01 : x
  2. Step 2: Convert to fraction form
    9,144.01/13,636.09 = 8,136.01/x
  3. Step 3: Cross multiply
    9,144.01x = 13,636.09 × 8,136.01
  4. Step 4: Simplify right side
    9,144.01x = 110,943,364.60
  5. Step 5: Solve for x
    x = 110,943,364.60/9,144.01
  6. Step 6: Final answer
    x = 12,132.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.