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Finding the Fourth Proportional to 6,685.84, 9,222.44 and 4,922

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Solution

The fourth proportional to 6,685.84, 9,222.44 and 4,922 is: 6,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.84 : 9,222.44 = 4,922 : x
  2. Step 2: Convert to fraction form
    6,685.84/9,222.44 = 4,922/x
  3. Step 3: Cross multiply
    6,685.84x = 9,222.44 × 4,922
  4. Step 4: Simplify right side
    6,685.84x = 45,392,849.68
  5. Step 5: Solve for x
    x = 45,392,849.68/6,685.84
  6. Step 6: Final answer
    x = 6,789.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.