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Finding the Fourth Proportional to 7,023.60, 9,692.64 and 3,836.99

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Solution

The fourth proportional to 7,023.60, 9,692.64 and 3,836.99 is: 5,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.60 : 9,692.64 = 3,836.99 : x
  2. Step 2: Convert to fraction form
    7,023.60/9,692.64 = 3,836.99/x
  3. Step 3: Cross multiply
    7,023.60x = 9,692.64 × 3,836.99
  4. Step 4: Simplify right side
    7,023.60x = 37,190,586.99
  5. Step 5: Solve for x
    x = 37,190,586.99/7,023.60
  6. Step 6: Final answer
    x = 5,295.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.