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Finding the Fourth Proportional to 6,269.36, 9,403.92 and 2,109.68

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Solution

The fourth proportional to 6,269.36, 9,403.92 and 2,109.68 is: 3,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.36 : 9,403.92 = 2,109.68 : x
  2. Step 2: Convert to fraction form
    6,269.36/9,403.92 = 2,109.68/x
  3. Step 3: Cross multiply
    6,269.36x = 9,403.92 × 2,109.68
  4. Step 4: Simplify right side
    6,269.36x = 19,839,261.95
  5. Step 5: Solve for x
    x = 19,839,261.95/6,269.36
  6. Step 6: Final answer
    x = 3,164.48

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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.