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Finding the Fourth Proportional to 6,221.25, 9,332.06 and 1,604.25

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Solution

The fourth proportional to 6,221.25, 9,332.06 and 1,604.25 is: 2,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.25 : 9,332.06 = 1,604.25 : x
  2. Step 2: Convert to fraction form
    6,221.25/9,332.06 = 1,604.25/x
  3. Step 3: Cross multiply
    6,221.25x = 9,332.06 × 1,604.25
  4. Step 4: Simplify right side
    6,221.25x = 14,970,949.23
  5. Step 5: Solve for x
    x = 14,970,949.23/6,221.25
  6. Step 6: Final answer
    x = 2,406.42

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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.