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Finding the Fourth Proportional to 6,221.16, 9,331.74 and 1,838.27

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Solution

The fourth proportional to 6,221.16, 9,331.74 and 1,838.27 is: 2,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.16 : 9,331.74 = 1,838.27 : x
  2. Step 2: Convert to fraction form
    6,221.16/9,331.74 = 1,838.27/x
  3. Step 3: Cross multiply
    6,221.16x = 9,331.74 × 1,838.27
  4. Step 4: Simplify right side
    6,221.16x = 17,154,275.85
  5. Step 5: Solve for x
    x = 17,154,275.85/6,221.16
  6. Step 6: Final answer
    x = 2,757.41

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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.