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Finding the Fourth Proportional to 9,692.49, 14,539.04 and 2,672.63

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Solution

The fourth proportional to 9,692.49, 14,539.04 and 2,672.63 is: 4,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.49 : 14,539.04 = 2,672.63 : x
  2. Step 2: Convert to fraction form
    9,692.49/14,539.04 = 2,672.63/x
  3. Step 3: Cross multiply
    9,692.49x = 14,539.04 × 2,672.63
  4. Step 4: Simplify right side
    9,692.49x = 38,857,388.42
  5. Step 5: Solve for x
    x = 38,857,388.42/9,692.49
  6. Step 6: Final answer
    x = 4,009.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.