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Finding the Fourth Proportional to 6,382.19, 9,572.74 and 2,221.49

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Solution

The fourth proportional to 6,382.19, 9,572.74 and 2,221.49 is: 3,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.19 : 9,572.74 = 2,221.49 : x
  2. Step 2: Convert to fraction form
    6,382.19/9,572.74 = 2,221.49/x
  3. Step 3: Cross multiply
    6,382.19x = 9,572.74 × 2,221.49
  4. Step 4: Simplify right side
    6,382.19x = 21,265,764.56
  5. Step 5: Solve for x
    x = 21,265,764.56/6,382.19
  6. Step 6: Final answer
    x = 3,332.05

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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.