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Finding the Fourth Proportional to 7,136.28, 9,845.64 and 4,149.63

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Solution

The fourth proportional to 7,136.28, 9,845.64 and 4,149.63 is: 5,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.28 : 9,845.64 = 4,149.63 : x
  2. Step 2: Convert to fraction form
    7,136.28/9,845.64 = 4,149.63/x
  3. Step 3: Cross multiply
    7,136.28x = 9,845.64 × 4,149.63
  4. Step 4: Simplify right side
    7,136.28x = 40,855,763.11
  5. Step 5: Solve for x
    x = 40,855,763.11/7,136.28
  6. Step 6: Final answer
    x = 5,725.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.