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Finding the Fourth Proportional to 9,186.83, 12,674.71 and 6,353.15

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Solution

The fourth proportional to 9,186.83, 12,674.71 and 6,353.15 is: 8,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.83 : 12,674.71 = 6,353.15 : x
  2. Step 2: Convert to fraction form
    9,186.83/12,674.71 = 6,353.15/x
  3. Step 3: Cross multiply
    9,186.83x = 12,674.71 × 6,353.15
  4. Step 4: Simplify right side
    9,186.83x = 80,524,270.46
  5. Step 5: Solve for x
    x = 80,524,270.46/9,186.83
  6. Step 6: Final answer
    x = 8,765.19

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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.