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Finding the Fourth Proportional to 9,186.17, 12,676.92 and 4,994.42

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Solution

The fourth proportional to 9,186.17, 12,676.92 and 4,994.42 is: 6,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.17 : 12,676.92 = 4,994.42 : x
  2. Step 2: Convert to fraction form
    9,186.17/12,676.92 = 4,994.42/x
  3. Step 3: Cross multiply
    9,186.17x = 12,676.92 × 4,994.42
  4. Step 4: Simplify right side
    9,186.17x = 63,313,862.79
  5. Step 5: Solve for x
    x = 63,313,862.79/9,186.17
  6. Step 6: Final answer
    x = 6,892.30

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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.