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Finding the Fourth Proportional to 34,704.44, 52,050.80 and 9,738.76

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Solution

The fourth proportional to 34,704.44, 52,050.80 and 9,738.76 is: 14,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704.44 : 52,050.80 = 9,738.76 : x
  2. Step 2: Convert to fraction form
    34,704.44/52,050.80 = 9,738.76/x
  3. Step 3: Cross multiply
    34,704.44x = 52,050.80 × 9,738.76
  4. Step 4: Simplify right side
    34,704.44x = 506,910,249.01
  5. Step 5: Solve for x
    x = 506,910,249.01/34,704.44
  6. Step 6: Final answer
    x = 14,606.50

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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.