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Finding the Fourth Proportional to 6,296.38, 9,437.65 and 2,596.59

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Solution

The fourth proportional to 6,296.38, 9,437.65 and 2,596.59 is: 3,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.38 : 9,437.65 = 2,596.59 : x
  2. Step 2: Convert to fraction form
    6,296.38/9,437.65 = 2,596.59/x
  3. Step 3: Cross multiply
    6,296.38x = 9,437.65 × 2,596.59
  4. Step 4: Simplify right side
    6,296.38x = 24,505,701.12
  5. Step 5: Solve for x
    x = 24,505,701.12/6,296.38
  6. Step 6: Final answer
    x = 3,892.03

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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.