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Finding the Fourth Proportional to 7,932.74, 10,922.27 and 6,735.22

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Solution

The fourth proportional to 7,932.74, 10,922.27 and 6,735.22 is: 9,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.74 : 10,922.27 = 6,735.22 : x
  2. Step 2: Convert to fraction form
    7,932.74/10,922.27 = 6,735.22/x
  3. Step 3: Cross multiply
    7,932.74x = 10,922.27 × 6,735.22
  4. Step 4: Simplify right side
    7,932.74x = 73,563,830.37
  5. Step 5: Solve for x
    x = 73,563,830.37/7,932.74
  6. Step 6: Final answer
    x = 9,273.45

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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.