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Finding the Fourth Proportional to 9,755.99, 14,635.80 and 3,184.05

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Solution

The fourth proportional to 9,755.99, 14,635.80 and 3,184.05 is: 4,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.99 : 14,635.80 = 3,184.05 : x
  2. Step 2: Convert to fraction form
    9,755.99/14,635.80 = 3,184.05/x
  3. Step 3: Cross multiply
    9,755.99x = 14,635.80 × 3,184.05
  4. Step 4: Simplify right side
    9,755.99x = 46,601,103.07
  5. Step 5: Solve for x
    x = 46,601,103.07/9,755.99
  6. Step 6: Final answer
    x = 4,776.67

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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.