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Finding the Fourth Proportional to 9,755.96, 14,635.36 and 3,180.52

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Solution

The fourth proportional to 9,755.96, 14,635.36 and 3,180.52 is: 4,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.96 : 14,635.36 = 3,180.52 : x
  2. Step 2: Convert to fraction form
    9,755.96/14,635.36 = 3,180.52/x
  3. Step 3: Cross multiply
    9,755.96x = 14,635.36 × 3,180.52
  4. Step 4: Simplify right side
    9,755.96x = 46,548,055.19
  5. Step 5: Solve for x
    x = 46,548,055.19/9,755.96
  6. Step 6: Final answer
    x = 4,771.24

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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.