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Finding the Fourth Proportional to 9,795, 14,692.50 and 2,869.56

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Solution

The fourth proportional to 9,795, 14,692.50 and 2,869.56 is: 4,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795 : 14,692.50 = 2,869.56 : x
  2. Step 2: Convert to fraction form
    9,795/14,692.50 = 2,869.56/x
  3. Step 3: Cross multiply
    9,795x = 14,692.50 × 2,869.56
  4. Step 4: Simplify right side
    9,795x = 42,161,010.30
  5. Step 5: Solve for x
    x = 42,161,010.30/9,795
  6. Step 6: Final answer
    x = 4,304.34

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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.