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Finding the Fourth Proportional to 9,794.34, 14,692.54 and 3,221.04

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Solution

The fourth proportional to 9,794.34, 14,692.54 and 3,221.04 is: 4,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.34 : 14,692.54 = 3,221.04 : x
  2. Step 2: Convert to fraction form
    9,794.34/14,692.54 = 3,221.04/x
  3. Step 3: Cross multiply
    9,794.34x = 14,692.54 × 3,221.04
  4. Step 4: Simplify right side
    9,794.34x = 47,325,270.80
  5. Step 5: Solve for x
    x = 47,325,270.80/9,794.34
  6. Step 6: Final answer
    x = 4,831.90

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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.