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Finding the Fourth Proportional to 9,169.09, 12,652.42 and 5,189.51

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Solution

The fourth proportional to 9,169.09, 12,652.42 and 5,189.51 is: 7,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.09 : 12,652.42 = 5,189.51 : x
  2. Step 2: Convert to fraction form
    9,169.09/12,652.42 = 5,189.51/x
  3. Step 3: Cross multiply
    9,169.09x = 12,652.42 × 5,189.51
  4. Step 4: Simplify right side
    9,169.09x = 65,659,860.11
  5. Step 5: Solve for x
    x = 65,659,860.11/9,169.09
  6. Step 6: Final answer
    x = 7,161.00

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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.