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Finding the Fourth Proportional to 9,404.92, 14,107.41 and 2,384.94

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Solution

The fourth proportional to 9,404.92, 14,107.41 and 2,384.94 is: 3,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.92 : 14,107.41 = 2,384.94 : x
  2. Step 2: Convert to fraction form
    9,404.92/14,107.41 = 2,384.94/x
  3. Step 3: Cross multiply
    9,404.92x = 14,107.41 × 2,384.94
  4. Step 4: Simplify right side
    9,404.92x = 33,645,314.48
  5. Step 5: Solve for x
    x = 33,645,314.48/9,404.92
  6. Step 6: Final answer
    x = 3,577.42

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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.