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Finding the Fourth Proportional to 6,434.49, 9,652.77 and 2,736.75

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Solution

The fourth proportional to 6,434.49, 9,652.77 and 2,736.75 is: 4,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.49 : 9,652.77 = 2,736.75 : x
  2. Step 2: Convert to fraction form
    6,434.49/9,652.77 = 2,736.75/x
  3. Step 3: Cross multiply
    6,434.49x = 9,652.77 × 2,736.75
  4. Step 4: Simplify right side
    6,434.49x = 26,417,218.30
  5. Step 5: Solve for x
    x = 26,417,218.30/6,434.49
  6. Step 6: Final answer
    x = 4,105.57

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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.