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Finding the Fourth Proportional to 9,186.63, 12,677.49 and 4,994.88

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Solution

The fourth proportional to 9,186.63, 12,677.49 and 4,994.88 is: 6,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.63 : 12,677.49 = 4,994.88 : x
  2. Step 2: Convert to fraction form
    9,186.63/12,677.49 = 4,994.88/x
  3. Step 3: Cross multiply
    9,186.63x = 12,677.49 × 4,994.88
  4. Step 4: Simplify right side
    9,186.63x = 63,322,541.25
  5. Step 5: Solve for x
    x = 63,322,541.25/9,186.63
  6. Step 6: Final answer
    x = 6,892.90

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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.