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Finding the Fourth Proportional to 6,154.92, 9,223.67 and 3,517.02

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Solution

The fourth proportional to 6,154.92, 9,223.67 and 3,517.02 is: 5,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.92 : 9,223.67 = 3,517.02 : x
  2. Step 2: Convert to fraction form
    6,154.92/9,223.67 = 3,517.02/x
  3. Step 3: Cross multiply
    6,154.92x = 9,223.67 × 3,517.02
  4. Step 4: Simplify right side
    6,154.92x = 32,439,840.66
  5. Step 5: Solve for x
    x = 32,439,840.66/6,154.92
  6. Step 6: Final answer
    x = 5,270.55

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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.