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Finding the Fourth Proportional to 9,199.59, 13,798.77 and 2,274.09

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Solution

The fourth proportional to 9,199.59, 13,798.77 and 2,274.09 is: 3,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.59 : 13,798.77 = 2,274.09 : x
  2. Step 2: Convert to fraction form
    9,199.59/13,798.77 = 2,274.09/x
  3. Step 3: Cross multiply
    9,199.59x = 13,798.77 × 2,274.09
  4. Step 4: Simplify right side
    9,199.59x = 31,379,644.87
  5. Step 5: Solve for x
    x = 31,379,644.87/9,199.59
  6. Step 6: Final answer
    x = 3,410.98

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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.