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Finding the Fourth Proportional to 9,402.21, 14,101.00 and 3,857.13

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Solution

The fourth proportional to 9,402.21, 14,101.00 and 3,857.13 is: 5,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.21 : 14,101.00 = 3,857.13 : x
  2. Step 2: Convert to fraction form
    9,402.21/14,101.00 = 3,857.13/x
  3. Step 3: Cross multiply
    9,402.21x = 14,101.00 × 3,857.13
  4. Step 4: Simplify right side
    9,402.21x = 54,389,380.49
  5. Step 5: Solve for x
    x = 54,389,380.49/9,402.21
  6. Step 6: Final answer
    x = 5,784.74

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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.