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Finding the Fourth Proportional to 9,692.20, 14,538.90 and 3,116.62

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Solution

The fourth proportional to 9,692.20, 14,538.90 and 3,116.62 is: 4,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.20 : 14,538.90 = 3,116.62 : x
  2. Step 2: Convert to fraction form
    9,692.20/14,538.90 = 3,116.62/x
  3. Step 3: Cross multiply
    9,692.20x = 14,538.90 × 3,116.62
  4. Step 4: Simplify right side
    9,692.20x = 45,312,226.52
  5. Step 5: Solve for x
    x = 45,312,226.52/9,692.20
  6. Step 6: Final answer
    x = 4,675.12

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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.