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Finding the Fourth Proportional to 10,009.01, 14,983.44 and 9,770.27

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Solution

The fourth proportional to 10,009.01, 14,983.44 and 9,770.27 is: 14,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.01 : 14,983.44 = 9,770.27 : x
  2. Step 2: Convert to fraction form
    10,009.01/14,983.44 = 9,770.27/x
  3. Step 3: Cross multiply
    10,009.01x = 14,983.44 × 9,770.27
  4. Step 4: Simplify right side
    10,009.01x = 146,392,179.41
  5. Step 5: Solve for x
    x = 146,392,179.41/10,009.01
  6. Step 6: Final answer
    x = 14,626.04

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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.