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Finding the Fourth Proportional to 37,942.74, 56,914.95 and 9,863.90

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Solution

The fourth proportional to 37,942.74, 56,914.95 and 9,863.90 is: 14,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,942.74 : 56,914.95 = 9,863.90 : x
  2. Step 2: Convert to fraction form
    37,942.74/56,914.95 = 9,863.90/x
  3. Step 3: Cross multiply
    37,942.74x = 56,914.95 × 9,863.90
  4. Step 4: Simplify right side
    37,942.74x = 561,403,375.31
  5. Step 5: Solve for x
    x = 561,403,375.31/37,942.74
  6. Step 6: Final answer
    x = 14,796.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.