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Finding the Fourth Proportional to 9,949.50, 13,740.98 and 6,181.59

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Solution

The fourth proportional to 9,949.50, 13,740.98 and 6,181.59 is: 8,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.50 : 13,740.98 = 6,181.59 : x
  2. Step 2: Convert to fraction form
    9,949.50/13,740.98 = 6,181.59/x
  3. Step 3: Cross multiply
    9,949.50x = 13,740.98 × 6,181.59
  4. Step 4: Simplify right side
    9,949.50x = 84,941,104.56
  5. Step 5: Solve for x
    x = 84,941,104.56/9,949.50
  6. Step 6: Final answer
    x = 8,537.22

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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.