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Finding the Fourth Proportional to 6,296.39, 9,444.78 and 2,596.10

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Solution

The fourth proportional to 6,296.39, 9,444.78 and 2,596.10 is: 3,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.39 : 9,444.78 = 2,596.10 : x
  2. Step 2: Convert to fraction form
    6,296.39/9,444.78 = 2,596.10/x
  3. Step 3: Cross multiply
    6,296.39x = 9,444.78 × 2,596.10
  4. Step 4: Simplify right side
    6,296.39x = 24,519,546.13
  5. Step 5: Solve for x
    x = 24,519,546.13/6,296.39
  6. Step 6: Final answer
    x = 3,894.23

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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.