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Finding the Fourth Proportional to 9,186.39, 12,674.97 and 5,409.72

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Solution

The fourth proportional to 9,186.39, 12,674.97 and 5,409.72 is: 7,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.39 : 12,674.97 = 5,409.72 : x
  2. Step 2: Convert to fraction form
    9,186.39/12,674.97 = 5,409.72/x
  3. Step 3: Cross multiply
    9,186.39x = 12,674.97 × 5,409.72
  4. Step 4: Simplify right side
    9,186.39x = 68,568,038.71
  5. Step 5: Solve for x
    x = 68,568,038.71/9,186.39
  6. Step 6: Final answer
    x = 7,464.09

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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.