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Finding the Fourth Proportional to 9,270.42, 12,765.27 and 8,009.25

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Solution

The fourth proportional to 9,270.42, 12,765.27 and 8,009.25 is: 11,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.42 : 12,765.27 = 8,009.25 : x
  2. Step 2: Convert to fraction form
    9,270.42/12,765.27 = 8,009.25/x
  3. Step 3: Cross multiply
    9,270.42x = 12,765.27 × 8,009.25
  4. Step 4: Simplify right side
    9,270.42x = 102,240,238.75
  5. Step 5: Solve for x
    x = 102,240,238.75/9,270.42
  6. Step 6: Final answer
    x = 11,028.65

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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.