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Finding the Fourth Proportional to 9,819.72, 13,556.07 and 6,692.31

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Solution

The fourth proportional to 9,819.72, 13,556.07 and 6,692.31 is: 9,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.72 : 13,556.07 = 6,692.31 : x
  2. Step 2: Convert to fraction form
    9,819.72/13,556.07 = 6,692.31/x
  3. Step 3: Cross multiply
    9,819.72x = 13,556.07 × 6,692.31
  4. Step 4: Simplify right side
    9,819.72x = 90,721,422.82
  5. Step 5: Solve for x
    x = 90,721,422.82/9,819.72
  6. Step 6: Final answer
    x = 9,238.70

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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.