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Finding the Fourth Proportional to 27,794.68, 41,692.02 and 9,339.64

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Solution

The fourth proportional to 27,794.68, 41,692.02 and 9,339.64 is: 14,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.68 : 41,692.02 = 9,339.64 : x
  2. Step 2: Convert to fraction form
    27,794.68/41,692.02 = 9,339.64/x
  3. Step 3: Cross multiply
    27,794.68x = 41,692.02 × 9,339.64
  4. Step 4: Simplify right side
    27,794.68x = 389,388,457.67
  5. Step 5: Solve for x
    x = 389,388,457.67/27,794.68
  6. Step 6: Final answer
    x = 14,009.46

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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.