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Finding the Fourth Proportional to 34,728.99, 52,093.74 and 9,771.56

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Solution

The fourth proportional to 34,728.99, 52,093.74 and 9,771.56 is: 14,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,728.99 : 52,093.74 = 9,771.56 : x
  2. Step 2: Convert to fraction form
    34,728.99/52,093.74 = 9,771.56/x
  3. Step 3: Cross multiply
    34,728.99x = 52,093.74 × 9,771.56
  4. Step 4: Simplify right side
    34,728.99x = 509,037,022.60
  5. Step 5: Solve for x
    x = 509,037,022.60/34,728.99
  6. Step 6: Final answer
    x = 14,657.41

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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.