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Finding the Fourth Proportional to 9,692.14, 14,538.21 and 2,672.23

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Solution

The fourth proportional to 9,692.14, 14,538.21 and 2,672.23 is: 4,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.14 : 14,538.21 = 2,672.23 : x
  2. Step 2: Convert to fraction form
    9,692.14/14,538.21 = 2,672.23/x
  3. Step 3: Cross multiply
    9,692.14x = 14,538.21 × 2,672.23
  4. Step 4: Simplify right side
    9,692.14x = 38,849,440.91
  5. Step 5: Solve for x
    x = 38,849,440.91/9,692.14
  6. Step 6: Final answer
    x = 4,008.35

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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.