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Finding the Fourth Proportional to 9,186.71, 12,677.97 and 5,207.78

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Solution

The fourth proportional to 9,186.71, 12,677.97 and 5,207.78 is: 7,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.71 : 12,677.97 = 5,207.78 : x
  2. Step 2: Convert to fraction form
    9,186.71/12,677.97 = 5,207.78/x
  3. Step 3: Cross multiply
    9,186.71x = 12,677.97 × 5,207.78
  4. Step 4: Simplify right side
    9,186.71x = 66,024,015.22
  5. Step 5: Solve for x
    x = 66,024,015.22/9,186.71
  6. Step 6: Final answer
    x = 7,186.91

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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.