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Finding the Fourth Proportional to 9,653.12, 14,481.48 and 3,080.96

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Solution

The fourth proportional to 9,653.12, 14,481.48 and 3,080.96 is: 4,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.12 : 14,481.48 = 3,080.96 : x
  2. Step 2: Convert to fraction form
    9,653.12/14,481.48 = 3,080.96/x
  3. Step 3: Cross multiply
    9,653.12x = 14,481.48 × 3,080.96
  4. Step 4: Simplify right side
    9,653.12x = 44,616,860.62
  5. Step 5: Solve for x
    x = 44,616,860.62/9,653.12
  6. Step 6: Final answer
    x = 4,622.01

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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.