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Finding the Fourth Proportional to 7,122.90, 9,829.55 and 3,936.41

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Solution

The fourth proportional to 7,122.90, 9,829.55 and 3,936.41 is: 5,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.90 : 9,829.55 = 3,936.41 : x
  2. Step 2: Convert to fraction form
    7,122.90/9,829.55 = 3,936.41/x
  3. Step 3: Cross multiply
    7,122.90x = 9,829.55 × 3,936.41
  4. Step 4: Simplify right side
    7,122.90x = 38,693,119.23
  5. Step 5: Solve for x
    x = 38,693,119.23/7,122.90
  6. Step 6: Final answer
    x = 5,432.21

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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.