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Finding the Fourth Proportional to 7,023.30, 9,692.01 and 3,836.69

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Solution

The fourth proportional to 7,023.30, 9,692.01 and 3,836.69 is: 5,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.30 : 9,692.01 = 3,836.69 : x
  2. Step 2: Convert to fraction form
    7,023.30/9,692.01 = 3,836.69/x
  3. Step 3: Cross multiply
    7,023.30x = 9,692.01 × 3,836.69
  4. Step 4: Simplify right side
    7,023.30x = 37,185,237.85
  5. Step 5: Solve for x
    x = 37,185,237.85/7,023.30
  6. Step 6: Final answer
    x = 5,294.55

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