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Finding the Fourth Proportional to 6,382.40, 9,573.28 and 2,221.12

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Solution

The fourth proportional to 6,382.40, 9,573.28 and 2,221.12 is: 3,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.40 : 9,573.28 = 2,221.12 : x
  2. Step 2: Convert to fraction form
    6,382.40/9,573.28 = 2,221.12/x
  3. Step 3: Cross multiply
    6,382.40x = 9,573.28 × 2,221.12
  4. Step 4: Simplify right side
    6,382.40x = 21,263,403.67
  5. Step 5: Solve for x
    x = 21,263,403.67/6,382.40
  6. Step 6: Final answer
    x = 3,331.57

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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.