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Finding the Fourth Proportional to 6,406.24, 9,608.28 and 3,118.48

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Solution

The fourth proportional to 6,406.24, 9,608.28 and 3,118.48 is: 4,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.24 : 9,608.28 = 3,118.48 : x
  2. Step 2: Convert to fraction form
    6,406.24/9,608.28 = 3,118.48/x
  3. Step 3: Cross multiply
    6,406.24x = 9,608.28 × 3,118.48
  4. Step 4: Simplify right side
    6,406.24x = 29,963,229.01
  5. Step 5: Solve for x
    x = 29,963,229.01/6,406.24
  6. Step 6: Final answer
    x = 4,677.19

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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.