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Finding the Fourth Proportional to 9,632.67, 14,447.84 and 2,612.24

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Solution

The fourth proportional to 9,632.67, 14,447.84 and 2,612.24 is: 3,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.67 : 14,447.84 = 2,612.24 : x
  2. Step 2: Convert to fraction form
    9,632.67/14,447.84 = 2,612.24/x
  3. Step 3: Cross multiply
    9,632.67x = 14,447.84 × 2,612.24
  4. Step 4: Simplify right side
    9,632.67x = 37,741,290.40
  5. Step 5: Solve for x
    x = 37,741,290.40/9,632.67
  6. Step 6: Final answer
    x = 3,918.05

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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.