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Finding the Fourth Proportional to 9,125.41, 13,682.34 and 3,857.71

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Solution

The fourth proportional to 9,125.41, 13,682.34 and 3,857.71 is: 5,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.41 : 13,682.34 = 3,857.71 : x
  2. Step 2: Convert to fraction form
    9,125.41/13,682.34 = 3,857.71/x
  3. Step 3: Cross multiply
    9,125.41x = 13,682.34 × 3,857.71
  4. Step 4: Simplify right side
    9,125.41x = 52,782,499.84
  5. Step 5: Solve for x
    x = 52,782,499.84/9,125.41
  6. Step 6: Final answer
    x = 5,784.12

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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.