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Finding the Fourth Proportional to 8,949.96, 12,354.93 and 7,832.16

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Solution

The fourth proportional to 8,949.96, 12,354.93 and 7,832.16 is: 10,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.96 : 12,354.93 = 7,832.16 : x
  2. Step 2: Convert to fraction form
    8,949.96/12,354.93 = 7,832.16/x
  3. Step 3: Cross multiply
    8,949.96x = 12,354.93 × 7,832.16
  4. Step 4: Simplify right side
    8,949.96x = 96,765,788.55
  5. Step 5: Solve for x
    x = 96,765,788.55/8,949.96
  6. Step 6: Final answer
    x = 10,811.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.