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Finding the Fourth Proportional to 9,832.17, 14,745.77 and 2,812.22

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Solution

The fourth proportional to 9,832.17, 14,745.77 and 2,812.22 is: 4,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.17 : 14,745.77 = 2,812.22 : x
  2. Step 2: Convert to fraction form
    9,832.17/14,745.77 = 2,812.22/x
  3. Step 3: Cross multiply
    9,832.17x = 14,745.77 × 2,812.22
  4. Step 4: Simplify right side
    9,832.17x = 41,468,275.58
  5. Step 5: Solve for x
    x = 41,468,275.58/9,832.17
  6. Step 6: Final answer
    x = 4,217.61

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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.