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Finding the Fourth Proportional to 9,266.40, 13,900.44 and 2,692.44

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Solution

The fourth proportional to 9,266.40, 13,900.44 and 2,692.44 is: 4,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.40 : 13,900.44 = 2,692.44 : x
  2. Step 2: Convert to fraction form
    9,266.40/13,900.44 = 2,692.44/x
  3. Step 3: Cross multiply
    9,266.40x = 13,900.44 × 2,692.44
  4. Step 4: Simplify right side
    9,266.40x = 37,426,100.67
  5. Step 5: Solve for x
    x = 37,426,100.67/9,266.40
  6. Step 6: Final answer
    x = 4,038.90

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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.