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Finding the Fourth Proportional to 8,954.96, 12,358.68 and 5,419.04

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Solution

The fourth proportional to 8,954.96, 12,358.68 and 5,419.04 is: 7,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.96 : 12,358.68 = 5,419.04 : x
  2. Step 2: Convert to fraction form
    8,954.96/12,358.68 = 5,419.04/x
  3. Step 3: Cross multiply
    8,954.96x = 12,358.68 × 5,419.04
  4. Step 4: Simplify right side
    8,954.96x = 66,972,181.27
  5. Step 5: Solve for x
    x = 66,972,181.27/8,954.96
  6. Step 6: Final answer
    x = 7,478.78

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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.