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Finding the Fourth Proportional to 9,194.40, 12,692.96 and 6,225.92

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Solution

The fourth proportional to 9,194.40, 12,692.96 and 6,225.92 is: 8,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.40 : 12,692.96 = 6,225.92 : x
  2. Step 2: Convert to fraction form
    9,194.40/12,692.96 = 6,225.92/x
  3. Step 3: Cross multiply
    9,194.40x = 12,692.96 × 6,225.92
  4. Step 4: Simplify right side
    9,194.40x = 79,025,353.52
  5. Step 5: Solve for x
    x = 79,025,353.52/9,194.40
  6. Step 6: Final answer
    x = 8,594.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.