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Finding the Fourth Proportional to 7,149.90, 9,865.90 and 3,962.80

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Solution

The fourth proportional to 7,149.90, 9,865.90 and 3,962.80 is: 5,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.90 : 9,865.90 = 3,962.80 : x
  2. Step 2: Convert to fraction form
    7,149.90/9,865.90 = 3,962.80/x
  3. Step 3: Cross multiply
    7,149.90x = 9,865.90 × 3,962.80
  4. Step 4: Simplify right side
    7,149.90x = 39,096,588.52
  5. Step 5: Solve for x
    x = 39,096,588.52/7,149.90
  6. Step 6: Final answer
    x = 5,468.13

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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.