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Finding the Fourth Proportional to 9,579.07, 13,214.78 and 6,922.27

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Solution

The fourth proportional to 9,579.07, 13,214.78 and 6,922.27 is: 9,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.07 : 13,214.78 = 6,922.27 : x
  2. Step 2: Convert to fraction form
    9,579.07/13,214.78 = 6,922.27/x
  3. Step 3: Cross multiply
    9,579.07x = 13,214.78 × 6,922.27
  4. Step 4: Simplify right side
    9,579.07x = 91,476,240.54
  5. Step 5: Solve for x
    x = 91,476,240.54/9,579.07
  6. Step 6: Final answer
    x = 9,549.60

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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.