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Finding the Fourth Proportional to 9,186.44, 12,676.77 and 5,207.31

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Solution

The fourth proportional to 9,186.44, 12,676.77 and 5,207.31 is: 7,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.44 : 12,676.77 = 5,207.31 : x
  2. Step 2: Convert to fraction form
    9,186.44/12,676.77 = 5,207.31/x
  3. Step 3: Cross multiply
    9,186.44x = 12,676.77 × 5,207.31
  4. Step 4: Simplify right side
    9,186.44x = 66,011,871.19
  5. Step 5: Solve for x
    x = 66,011,871.19/9,186.44
  6. Step 6: Final answer
    x = 7,185.80

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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.