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Finding the Fourth Proportional to 37,576.08, 56,367.32 and 9,874

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Solution

The fourth proportional to 37,576.08, 56,367.32 and 9,874 is: 14,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,576.08 : 56,367.32 = 9,874 : x
  2. Step 2: Convert to fraction form
    37,576.08/56,367.32 = 9,874/x
  3. Step 3: Cross multiply
    37,576.08x = 56,367.32 × 9,874
  4. Step 4: Simplify right side
    37,576.08x = 556,570,917.68
  5. Step 5: Solve for x
    x = 556,570,917.68/37,576.08
  6. Step 6: Final answer
    x = 14,811.84

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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.