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Finding the Fourth Proportional to 9,194.70, 13,787.96 and 2,619.40

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Solution

The fourth proportional to 9,194.70, 13,787.96 and 2,619.40 is: 3,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.70 : 13,787.96 = 2,619.40 : x
  2. Step 2: Convert to fraction form
    9,194.70/13,787.96 = 2,619.40/x
  3. Step 3: Cross multiply
    9,194.70x = 13,787.96 × 2,619.40
  4. Step 4: Simplify right side
    9,194.70x = 36,116,182.42
  5. Step 5: Solve for x
    x = 36,116,182.42/9,194.70
  6. Step 6: Final answer
    x = 3,927.93

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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.