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Finding the Fourth Proportional to 6,452.93, 9,683.04 and 2,754.82

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Solution

The fourth proportional to 6,452.93, 9,683.04 and 2,754.82 is: 4,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.93 : 9,683.04 = 2,754.82 : x
  2. Step 2: Convert to fraction form
    6,452.93/9,683.04 = 2,754.82/x
  3. Step 3: Cross multiply
    6,452.93x = 9,683.04 × 2,754.82
  4. Step 4: Simplify right side
    6,452.93x = 26,674,983.84
  5. Step 5: Solve for x
    x = 26,674,983.84/6,452.93
  6. Step 6: Final answer
    x = 4,133.78

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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.