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Finding the Fourth Proportional to 6,221.16, 9,331.70 and 1,604.20

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Solution

The fourth proportional to 6,221.16, 9,331.70 and 1,604.20 is: 2,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.16 : 9,331.70 = 1,604.20 : x
  2. Step 2: Convert to fraction form
    6,221.16/9,331.70 = 1,604.20/x
  3. Step 3: Cross multiply
    6,221.16x = 9,331.70 × 1,604.20
  4. Step 4: Simplify right side
    6,221.16x = 14,969,913.14
  5. Step 5: Solve for x
    x = 14,969,913.14/6,221.16
  6. Step 6: Final answer
    x = 2,406.29

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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.