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Finding the Fourth Proportional to 6,419.96, 9,622.56 and 2,949.92

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Solution

The fourth proportional to 6,419.96, 9,622.56 and 2,949.92 is: 4,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.96 : 9,622.56 = 2,949.92 : x
  2. Step 2: Convert to fraction form
    6,419.96/9,622.56 = 2,949.92/x
  3. Step 3: Cross multiply
    6,419.96x = 9,622.56 × 2,949.92
  4. Step 4: Simplify right side
    6,419.96x = 28,385,782.20
  5. Step 5: Solve for x
    x = 28,385,782.20/6,419.96
  6. Step 6: Final answer
    x = 4,421.49

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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.