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Finding the Fourth Proportional to 6,236.60, 9,348.68 and 3,464.51

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Solution

The fourth proportional to 6,236.60, 9,348.68 and 3,464.51 is: 5,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.60 : 9,348.68 = 3,464.51 : x
  2. Step 2: Convert to fraction form
    6,236.60/9,348.68 = 3,464.51/x
  3. Step 3: Cross multiply
    6,236.60x = 9,348.68 × 3,464.51
  4. Step 4: Simplify right side
    6,236.60x = 32,388,557.26
  5. Step 5: Solve for x
    x = 32,388,557.26/6,236.60
  6. Step 6: Final answer
    x = 5,193.31

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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.