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Finding the Fourth Proportional to 6,159.44, 9,238.25 and 2,262.94

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Solution

The fourth proportional to 6,159.44, 9,238.25 and 2,262.94 is: 3,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.44 : 9,238.25 = 2,262.94 : x
  2. Step 2: Convert to fraction form
    6,159.44/9,238.25 = 2,262.94/x
  3. Step 3: Cross multiply
    6,159.44x = 9,238.25 × 2,262.94
  4. Step 4: Simplify right side
    6,159.44x = 20,905,588.02
  5. Step 5: Solve for x
    x = 20,905,588.02/6,159.44
  6. Step 6: Final answer
    x = 3,394.07

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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.