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Finding the Fourth Proportional to 9,692.43, 14,529.40 and 3,113.99

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Solution

The fourth proportional to 9,692.43, 14,529.40 and 3,113.99 is: 4,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.43 : 14,529.40 = 3,113.99 : x
  2. Step 2: Convert to fraction form
    9,692.43/14,529.40 = 3,113.99/x
  3. Step 3: Cross multiply
    9,692.43x = 14,529.40 × 3,113.99
  4. Step 4: Simplify right side
    9,692.43x = 45,244,380.36
  5. Step 5: Solve for x
    x = 45,244,380.36/9,692.43
  6. Step 6: Final answer
    x = 4,668.01

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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.