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Finding the Fourth Proportional to 6,276.93, 9,412.44 and 3,645.27

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Solution

The fourth proportional to 6,276.93, 9,412.44 and 3,645.27 is: 5,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.93 : 9,412.44 = 3,645.27 : x
  2. Step 2: Convert to fraction form
    6,276.93/9,412.44 = 3,645.27/x
  3. Step 3: Cross multiply
    6,276.93x = 9,412.44 × 3,645.27
  4. Step 4: Simplify right side
    6,276.93x = 34,310,871.49
  5. Step 5: Solve for x
    x = 34,310,871.49/6,276.93
  6. Step 6: Final answer
    x = 5,466.19

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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.