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Finding the Fourth Proportional to 9,692.64, 14,517.84 and 5,176.80

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Solution

The fourth proportional to 9,692.64, 14,517.84 and 5,176.80 is: 7,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.64 : 14,517.84 = 5,176.80 : x
  2. Step 2: Convert to fraction form
    9,692.64/14,517.84 = 5,176.80/x
  3. Step 3: Cross multiply
    9,692.64x = 14,517.84 × 5,176.80
  4. Step 4: Simplify right side
    9,692.64x = 75,155,954.11
  5. Step 5: Solve for x
    x = 75,155,954.11/9,692.64
  6. Step 6: Final answer
    x = 7,753.92

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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.