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Finding the Fourth Proportional to 9,809.56, 14,714.20 and 3,964.60

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Solution

The fourth proportional to 9,809.56, 14,714.20 and 3,964.60 is: 5,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.56 : 14,714.20 = 3,964.60 : x
  2. Step 2: Convert to fraction form
    9,809.56/14,714.20 = 3,964.60/x
  3. Step 3: Cross multiply
    9,809.56x = 14,714.20 × 3,964.60
  4. Step 4: Simplify right side
    9,809.56x = 58,335,917.32
  5. Step 5: Solve for x
    x = 58,335,917.32/9,809.56
  6. Step 6: Final answer
    x = 5,946.84

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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.