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Finding the Fourth Proportional to 9,134.70, 13,692.60 and 4,965.90

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Solution

The fourth proportional to 9,134.70, 13,692.60 and 4,965.90 is: 7,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.70 : 13,692.60 = 4,965.90 : x
  2. Step 2: Convert to fraction form
    9,134.70/13,692.60 = 4,965.90/x
  3. Step 3: Cross multiply
    9,134.70x = 13,692.60 × 4,965.90
  4. Step 4: Simplify right side
    9,134.70x = 67,996,082.34
  5. Step 5: Solve for x
    x = 67,996,082.34/9,134.70
  6. Step 6: Final answer
    x = 7,443.71

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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.