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Finding the Fourth Proportional to 7,123.16, 9,829.86 and 3,936.44

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Solution

The fourth proportional to 7,123.16, 9,829.86 and 3,936.44 is: 5,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.16 : 9,829.86 = 3,936.44 : x
  2. Step 2: Convert to fraction form
    7,123.16/9,829.86 = 3,936.44/x
  3. Step 3: Cross multiply
    7,123.16x = 9,829.86 × 3,936.44
  4. Step 4: Simplify right side
    7,123.16x = 38,694,654.10
  5. Step 5: Solve for x
    x = 38,694,654.10/7,123.16
  6. Step 6: Final answer
    x = 5,432.23

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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.