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Finding the Fourth Proportional to 9,186.98, 13,777.16 and 3,181.43

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Solution

The fourth proportional to 9,186.98, 13,777.16 and 3,181.43 is: 4,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.98 : 13,777.16 = 3,181.43 : x
  2. Step 2: Convert to fraction form
    9,186.98/13,777.16 = 3,181.43/x
  3. Step 3: Cross multiply
    9,186.98x = 13,777.16 × 3,181.43
  4. Step 4: Simplify right side
    9,186.98x = 43,830,985.35
  5. Step 5: Solve for x
    x = 43,830,985.35/9,186.98
  6. Step 6: Final answer
    x = 4,770.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.