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Finding the Fourth Proportional to 9,769.60, 14,644.06 and 3,194.02

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Solution

The fourth proportional to 9,769.60, 14,644.06 and 3,194.02 is: 4,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.60 : 14,644.06 = 3,194.02 : x
  2. Step 2: Convert to fraction form
    9,769.60/14,644.06 = 3,194.02/x
  3. Step 3: Cross multiply
    9,769.60x = 14,644.06 × 3,194.02
  4. Step 4: Simplify right side
    9,769.60x = 46,773,420.52
  5. Step 5: Solve for x
    x = 46,773,420.52/9,769.60
  6. Step 6: Final answer
    x = 4,787.65

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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.