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Finding the Fourth Proportional to 6,215.71, 9,322.21 and 2,054.73

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Solution

The fourth proportional to 6,215.71, 9,322.21 and 2,054.73 is: 3,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.71 : 9,322.21 = 2,054.73 : x
  2. Step 2: Convert to fraction form
    6,215.71/9,322.21 = 2,054.73/x
  3. Step 3: Cross multiply
    6,215.71x = 9,322.21 × 2,054.73
  4. Step 4: Simplify right side
    6,215.71x = 19,154,614.28
  5. Step 5: Solve for x
    x = 19,154,614.28/6,215.71
  6. Step 6: Final answer
    x = 3,081.65

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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.