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Finding the Fourth Proportional to 9,404.82, 14,107.50 and 2,830.32

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Solution

The fourth proportional to 9,404.82, 14,107.50 and 2,830.32 is: 4,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.82 : 14,107.50 = 2,830.32 : x
  2. Step 2: Convert to fraction form
    9,404.82/14,107.50 = 2,830.32/x
  3. Step 3: Cross multiply
    9,404.82x = 14,107.50 × 2,830.32
  4. Step 4: Simplify right side
    9,404.82x = 39,928,739.40
  5. Step 5: Solve for x
    x = 39,928,739.40/9,404.82
  6. Step 6: Final answer
    x = 4,245.56

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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.