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Finding the Fourth Proportional to 9,404.97, 14,108.58 and 2,830.20

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Solution

The fourth proportional to 9,404.97, 14,108.58 and 2,830.20 is: 4,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.97 : 14,108.58 = 2,830.20 : x
  2. Step 2: Convert to fraction form
    9,404.97/14,108.58 = 2,830.20/x
  3. Step 3: Cross multiply
    9,404.97x = 14,108.58 × 2,830.20
  4. Step 4: Simplify right side
    9,404.97x = 39,930,103.12
  5. Step 5: Solve for x
    x = 39,930,103.12/9,404.97
  6. Step 6: Final answer
    x = 4,245.64

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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.