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Finding the Fourth Proportional to 6,760.40, 9,323.52 and 5,638.28

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Solution

The fourth proportional to 6,760.40, 9,323.52 and 5,638.28 is: 7,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.40 : 9,323.52 = 5,638.28 : x
  2. Step 2: Convert to fraction form
    6,760.40/9,323.52 = 5,638.28/x
  3. Step 3: Cross multiply
    6,760.40x = 9,323.52 × 5,638.28
  4. Step 4: Simplify right side
    6,760.40x = 52,568,616.35
  5. Step 5: Solve for x
    x = 52,568,616.35/6,760.40
  6. Step 6: Final answer
    x = 7,775.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.