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Finding the Fourth Proportional to 6,296.27, 9,444.65 and 1,616.43

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Solution

The fourth proportional to 6,296.27, 9,444.65 and 1,616.43 is: 2,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.27 : 9,444.65 = 1,616.43 : x
  2. Step 2: Convert to fraction form
    6,296.27/9,444.65 = 1,616.43/x
  3. Step 3: Cross multiply
    6,296.27x = 9,444.65 × 1,616.43
  4. Step 4: Simplify right side
    6,296.27x = 15,266,607.52
  5. Step 5: Solve for x
    x = 15,266,607.52/6,296.27
  6. Step 6: Final answer
    x = 2,424.71

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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.