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Finding the Fourth Proportional to 9,799.10, 14,692.56 and 3,223.52

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Solution

The fourth proportional to 9,799.10, 14,692.56 and 3,223.52 is: 4,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.10 : 14,692.56 = 3,223.52 : x
  2. Step 2: Convert to fraction form
    9,799.10/14,692.56 = 3,223.52/x
  3. Step 3: Cross multiply
    9,799.10x = 14,692.56 × 3,223.52
  4. Step 4: Simplify right side
    9,799.10x = 47,361,687.55
  5. Step 5: Solve for x
    x = 47,361,687.55/9,799.10
  6. Step 6: Final answer
    x = 4,833.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.