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Finding the Fourth Proportional to 9,832.22, 14,746.08 and 2,812.10

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Solution

The fourth proportional to 9,832.22, 14,746.08 and 2,812.10 is: 4,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.22 : 14,746.08 = 2,812.10 : x
  2. Step 2: Convert to fraction form
    9,832.22/14,746.08 = 2,812.10/x
  3. Step 3: Cross multiply
    9,832.22x = 14,746.08 × 2,812.10
  4. Step 4: Simplify right side
    9,832.22x = 41,467,451.57
  5. Step 5: Solve for x
    x = 41,467,451.57/9,832.22
  6. Step 6: Final answer
    x = 4,217.51

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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.