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Finding the Fourth Proportional to 9,189.78, 13,776.47 and 3,342.27

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Solution

The fourth proportional to 9,189.78, 13,776.47 and 3,342.27 is: 5,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.78 : 13,776.47 = 3,342.27 : x
  2. Step 2: Convert to fraction form
    9,189.78/13,776.47 = 3,342.27/x
  3. Step 3: Cross multiply
    9,189.78x = 13,776.47 × 3,342.27
  4. Step 4: Simplify right side
    9,189.78x = 46,044,665.68
  5. Step 5: Solve for x
    x = 46,044,665.68/9,189.78
  6. Step 6: Final answer
    x = 5,010.42

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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.