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Finding the Fourth Proportional to 9,194.64, 13,790.06 and 2,619.06

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Solution

The fourth proportional to 9,194.64, 13,790.06 and 2,619.06 is: 3,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.64 : 13,790.06 = 2,619.06 : x
  2. Step 2: Convert to fraction form
    9,194.64/13,790.06 = 2,619.06/x
  3. Step 3: Cross multiply
    9,194.64x = 13,790.06 × 2,619.06
  4. Step 4: Simplify right side
    9,194.64x = 36,116,994.54
  5. Step 5: Solve for x
    x = 36,116,994.54/9,194.64
  6. Step 6: Final answer
    x = 3,928.05

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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.