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Finding the Fourth Proportional to 9,929.37, 14,900.21 and 5,771.33

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Solution

The fourth proportional to 9,929.37, 14,900.21 and 5,771.33 is: 8,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.37 : 14,900.21 = 5,771.33 : x
  2. Step 2: Convert to fraction form
    9,929.37/14,900.21 = 5,771.33/x
  3. Step 3: Cross multiply
    9,929.37x = 14,900.21 × 5,771.33
  4. Step 4: Simplify right side
    9,929.37x = 85,994,037.37
  5. Step 5: Solve for x
    x = 85,994,037.37/9,929.37
  6. Step 6: Final answer
    x = 8,660.57

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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.