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Finding the Fourth Proportional to 6,419.72, 9,616.44 and 4,440.44

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Solution

The fourth proportional to 6,419.72, 9,616.44 and 4,440.44 is: 6,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.72 : 9,616.44 = 4,440.44 : x
  2. Step 2: Convert to fraction form
    6,419.72/9,616.44 = 4,440.44/x
  3. Step 3: Cross multiply
    6,419.72x = 9,616.44 × 4,440.44
  4. Step 4: Simplify right side
    6,419.72x = 42,701,224.83
  5. Step 5: Solve for x
    x = 42,701,224.83/6,419.72
  6. Step 6: Final answer
    x = 6,651.57

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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.