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Finding the Fourth Proportional to 7,201.41, 9,938.35 and 4,057.80

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Solution

The fourth proportional to 7,201.41, 9,938.35 and 4,057.80 is: 5,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.41 : 9,938.35 = 4,057.80 : x
  2. Step 2: Convert to fraction form
    7,201.41/9,938.35 = 4,057.80/x
  3. Step 3: Cross multiply
    7,201.41x = 9,938.35 × 4,057.80
  4. Step 4: Simplify right side
    7,201.41x = 40,327,781.61
  5. Step 5: Solve for x
    x = 40,327,781.61/7,201.41
  6. Step 6: Final answer
    x = 5,599.99

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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.