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Finding the Fourth Proportional to 9,189.74, 13,776.36 and 3,342.25

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Solution

The fourth proportional to 9,189.74, 13,776.36 and 3,342.25 is: 5,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.74 : 13,776.36 = 3,342.25 : x
  2. Step 2: Convert to fraction form
    9,189.74/13,776.36 = 3,342.25/x
  3. Step 3: Cross multiply
    9,189.74x = 13,776.36 × 3,342.25
  4. Step 4: Simplify right side
    9,189.74x = 46,044,039.21
  5. Step 5: Solve for x
    x = 46,044,039.21/9,189.74
  6. Step 6: Final answer
    x = 5,010.37

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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.