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Finding the Fourth Proportional to 9,186.50, 12,677.43 and 4,994.90

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Solution

The fourth proportional to 9,186.50, 12,677.43 and 4,994.90 is: 6,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.50 : 12,677.43 = 4,994.90 : x
  2. Step 2: Convert to fraction form
    9,186.50/12,677.43 = 4,994.90/x
  3. Step 3: Cross multiply
    9,186.50x = 12,677.43 × 4,994.90
  4. Step 4: Simplify right side
    9,186.50x = 63,322,495.11
  5. Step 5: Solve for x
    x = 63,322,495.11/9,186.50
  6. Step 6: Final answer
    x = 6,892.99

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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.