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Finding the Fourth Proportional to 9,186.77, 12,674.62 and 6,353.09

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Solution

The fourth proportional to 9,186.77, 12,674.62 and 6,353.09 is: 8,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.77 : 12,674.62 = 6,353.09 : x
  2. Step 2: Convert to fraction form
    9,186.77/12,674.62 = 6,353.09/x
  3. Step 3: Cross multiply
    9,186.77x = 12,674.62 × 6,353.09
  4. Step 4: Simplify right side
    9,186.77x = 80,523,001.58
  5. Step 5: Solve for x
    x = 80,523,001.58/9,186.77
  6. Step 6: Final answer
    x = 8,765.10

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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.