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Finding the Fourth Proportional to 9,184.68, 13,776.66 and 3,994.20

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Solution

The fourth proportional to 9,184.68, 13,776.66 and 3,994.20 is: 5,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.68 : 13,776.66 = 3,994.20 : x
  2. Step 2: Convert to fraction form
    9,184.68/13,776.66 = 3,994.20/x
  3. Step 3: Cross multiply
    9,184.68x = 13,776.66 × 3,994.20
  4. Step 4: Simplify right side
    9,184.68x = 55,026,735.37
  5. Step 5: Solve for x
    x = 55,026,735.37/9,184.68
  6. Step 6: Final answer
    x = 5,991.14

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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.