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Finding the Fourth Proportional to 9,404.21, 14,104 and 3,859.13

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Solution

The fourth proportional to 9,404.21, 14,104 and 3,859.13 is: 5,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.21 : 14,104 = 3,859.13 : x
  2. Step 2: Convert to fraction form
    9,404.21/14,104 = 3,859.13/x
  3. Step 3: Cross multiply
    9,404.21x = 14,104 × 3,859.13
  4. Step 4: Simplify right side
    9,404.21x = 54,429,169.52
  5. Step 5: Solve for x
    x = 54,429,169.52/9,404.21
  6. Step 6: Final answer
    x = 5,787.75

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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.