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Finding the Fourth Proportional to 9,657.37, 14,472.28 and 5,709.43

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Solution

The fourth proportional to 9,657.37, 14,472.28 and 5,709.43 is: 8,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.37 : 14,472.28 = 5,709.43 : x
  2. Step 2: Convert to fraction form
    9,657.37/14,472.28 = 5,709.43/x
  3. Step 3: Cross multiply
    9,657.37x = 14,472.28 × 5,709.43
  4. Step 4: Simplify right side
    9,657.37x = 82,628,469.60
  5. Step 5: Solve for x
    x = 82,628,469.60/9,657.37
  6. Step 6: Final answer
    x = 8,556.00

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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.